Find the perimeter and area of the figure

Find The Perimeter And Area Of The Figure

Answers

Answer 1

Answer:

Perimeter = 34 cm

Area = 60 [tex]cm^{2}[/tex]

Step-by-step explanation:

The equation to find the perimeter of a rectangle is:

P = 2(l + w)

l = length

w = width

To find the length we have to use Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

a = 12 cm

b = ?

c = 13 cm

Plug in and solve for b:

[tex](12^{2})+b^{2} = (13^{2})[/tex]

[tex]144 + b^{2} = 169[/tex]                        Distribute the squares

[tex]b^{2} = 25[/tex]                                   Subtract 144 from 169

[tex]\sqrt{b^{2} } =\sqrt{25}[/tex]                             Square root both sides

b = 5 cm

Now that we have found the length, and we know the width, we can find the perimeter:

P = 2(12 + 5) = 2(17) = 34

The perimeter of the rectangle is 34 cm.

To find the area use this equation:

A = lw

Plug in the values for length and width and solve:

A = (5 cm)(12 cm)

A = 60 [tex]cm^{2}[/tex]

The area of the rectangle is 60 [tex]cm^{2}[/tex].

Hope this helps!!


Related Questions

Someone help please

Answers

Answer:

32

Step-by-step explanation:

ok if it was a normal rectangle =

8 x 6

but the middle part takes 4 from the middle

since there are 2 rectangle

4/2 = 2

since there are lines

6 x 2 = 12 + another 12 since the rectangle on the bottom is the same as the top

24 + ...

6 - 4

2 x 4 = 8

24 + 8 =

32

Of the 300 fifth graders at Benson Elementary School, 40% signed up for an after-school activity. How many students signed up for an after-school activity?

Answers

Answer: 120 students

Step-by-step explanation:

multiply 40 by 300 then divide by 100 = 120

A storage rental company charges $1 for
the first month and $25 per month for the next
two months. After three months, the cost is
$20
per
month. How much would it cost to
rent a unit for 10 months?
A $151
$
B
$171
C$191
D
$211

Answers

Answer:

C

Step-by-step explanation:

Jan:1$

Feb and March: 50$

April to Oct: 140$

=>1+50+140=191

This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
needed to completely cover the backyard.

Answers

Answer:

39 yd^2

Step-by-step explanation:

First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 =  3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.

19. The area of the square is half the area of the rectangle. Find x.
2(x+4)

Answers

Answer:

2x+8

Step-by-step explanation:

Calculate the distance between the points (7, 4) and (-5, -3).​

Answers

Answer:

D = √193 units

or

D = 13.892 units

Step-by-step explanation:

Given:

(7, 4) and (-5, -3)

Calculate the distance

Solution:

[tex] \rm \: Distance (D) = \sqrt{( x_{2} - x_{1}) {}^{2} + (y_{2} - y_{1) {}^{2} }} [/tex]

Now, substitute the values given:

[tex] \rm \: D = \sqrt{ \{( - 5) - 7 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ \{12 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ 144 + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex]\rm D = \sqrt{144 + \{ 7\}{}^{2} } [/tex]

[tex] \rm \: D = \sqrt{144 + 49} [/tex]

[tex] \boxed{\rm \: D = \sqrt{193}} [/tex]

[tex] \boxed{\rm \: D =13 .892}[/tex]

Thus, Distance between the two given points will be √193 or √13.892 units.

Answer:

[tex]\bf \sqrt{193}[/tex] units or 13.9 units is the distance.

Explanation:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]

Given points: (7, 4) and (-5, -3)

Identify following:

[tex]\sf x_2= 7[/tex], [tex]\sf x_1 = -5[/tex], [tex]\sf y_2 =4[/tex], [tex]\sf y_1 =-3[/tex]

Find distance:

[tex]\rightarrow \sf \sqrt{(7 - (-5))^2 + (4 - (-3))^2} \quad = \quad \sqrt{144+49} \quad = \quad \sqrt{193} \quad \approx \ 13.9[/tex]

HELP ME PLEASEEEEE ASAP TYYYY

Answers

Step-by-step explanation:

with 2 dice we have 6×6 = 36 possible outcomes.

you know

1, 1

1, 2

1, 3

...

6, 6

from these 36 possible outcomes only the following have a sum of 4 :

1, 3

2, 2

3, 1

so, 3 out of 36.

that mags the probability is

3/36 = 1/12

the first answer option is correct.

Which equation represents the polar form of x – y = 0?

Answers

Answer:

x means 2 and y means -2

Step-by-step explanation:

Find an equation for the line that passes through the points (-5,-6) and (1,3).

Answers

Answer:

y=3/3x+3/2

Step-by-step explanation:

(-5,-6)(1,3)

x1y1 x2y2

y2-y1/x2-x1

m=3/2

b=3/2

244 people must be split into 4 equal groups. How many people in each group

Answers

Answer:

61 people per each group

Step-by-step explanation:

244/4= 61

Answer: 61 people in each group

Step-by-step explanation: 244 divided by 4 is 61

Help I can’t figure

Which one represents y as a function of x.

Answers

Answer:

  the graph

Step-by-step explanation:

The statement "*Remember ..." tells you how to identify the functional relations.

__

In the top diagram, each x-value maps to more than one y-value. Effectively, that means x is repeating (not a function).

In the set of ordered pairs, the value 3 shows up as an x-value more than once. It repeats (not a function).

In the graph, each value of x is shown as corresponding to exactly one value of y. The graph shows y as a function of x.

On the mapping one

0 has two ranges i.e 0 and 12

As it doesn't has unique range it's not a function

Where as in the graph

Every x has unique y f(x)=y

Graph represents a function

ast year Ryan went to school for 36 out of 52 weeks. Which fraction is
NOT equivalent to 367
52
A
DO

76 Els to lo
C
O
26

Answers

Answer:

76/26

Step-by-step explanation:

It takes 0.5 gallon of cream to make 1 pound of butter. How much cream would you need to make 2.5 pounds of butter?

Answers

1.25 gallons


so we know 0.5 gallons makes 1 pound, and we know that there are at least 2 pounds of butter made.


so we know that there is 1 full gallon of cream used.


however, there is also .5 pounds of butter, so we need to find out the other half.



to do this, we need to split the .5 gallons of cream in half, making 0.25



then, we add 1 + 0.25 gallons to equal 1.25 gallons of cream needed to make 2.5 pounds of butter

2 3/4 miles in 2/3 of an hour enter number of miles she can jog in 3 hours

Answers

MONEY MONEY not cash money no it’s no more than what we have for it to get the stuff off cause we need a little cash for now so you have cash

can anyone help me find the area pls ty

Answers

Hi, I think your answer is gonna be 42 in.

Answer:

42 in^2

Step-by-step explanation:

The given is a parallelogram and to calculate the area of a parallelogram we multiply its height and base

The height here is given as 6in and base is 7in

7*6 = 42, the area is presented in square units so the answer is 42 in^2

Which equation represents this ellipse?
answer d
y^2/25+x^2/4=1

Answers

We can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.

What is ellipse?

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have equation of ellipse:

[tex]\rm \dfrac {y^2}{25}+\dfrac{x^2}{4}=1[/tex]

[tex]\rm \dfrac {y^2}{5^2}+\dfrac{x^2}{2^2}=1[/tex]

Here a = 5, and b = 2

Major axis is 2a = 2(5) = 10

Minor axis is b = 2(2) = 4

Here a graph is not given, if

Thus, we can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.

Learn more about the ellipse here:

https://brainly.com/question/19507943

#SPJ2

WILL GIVE BRAINLIEST 25 POINTS

What is the perimeter of this rectangle?

Answers

Answer:

6√17 units

Step-by-step explanation:

A property of rectangles is that their opposite sides are equal in length.

Hence, to find the perimeter :

AB + BC + CD + DA2(AB) + 2(BC)2(AB + BC)

Finding AB by applying distance formula :

AB = √(1 + 3)² + (4 - 3)²AB = √4² + 1²AB = √16 + 1AB = √17

Finding BC :

BC = √(3 - 1)² + (-4 - 4)²BC = √2² + (-8)²BC = √4 + 64BC = √68BC = 2√17

Perimeter :

P = 2(AB + BC)P = 2(√17 + 2√17)P = 2(3√17)P = 6√17 units

What is the mean of the values in the stem-and-leaf plot?



Enter your answer in the box.



Key: 2|5 means 25

A stem-and-leaf plot with a stem value of 1 with leaf values of 5 and 8, a stem value of 2, a stem value of 3, a stem value of 4 with a leaf value of 6, a stem value of 5 with leaf values of 0, 0, 0, 0, 7, a stem value of 6, a stem value of 7, a stem value of 8, and a stem value of 9.

Answers

The stem and leaf plot represents the numbers 15, 18, 46, 50, 50, 50, 50, 57. To find the mean, add these up (336) and divide by the number of data points (8). The mean is 42.

In figure below points T,R,X,Y and Z

Answers

Answer:

a

Step-by-step explanation:

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
3.52 (22 minus n) = 0.24
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
3.52 + (22 minus n) = 0.24

Answers

The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100

How to Calculate Chemical quantities?

Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.

This gives;

Amount = 16% * 22 gal

Amount = 3.52 gal

Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.

Amount of ammonia = 3.52 gal

Amount of water that remains = 22 - n

Desired concentration = 24% = 24/100

Thus, the equation is;

(3.52)/(22 - n) = 24/100

Read more about Chemical Quantities at; https://brainly.com/question/26150306

#SPJ1

An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15 with medicine Y for a month; then the subjects' cholesterol level was measured. A significance test was conducted at the α = 0.01 level for the mean difference in cholesterol levels between medicine X and medicine Y. The test resulted in t = 2.73 and p = 0.003. If the alternative hypothesis in question was Ha: μX − μY ≠ 0, where μX equals the mean cholesterol level for subjects taking medicine X and μY equals the mean cholesterol level for subjects taking medicine Y, what conclusion can be drawn?

Answers

Considering the hypothesis tested and the p-value of the test, the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:

H₀:Hₓ-H

At the alternative hypothesis it is tested if there is a difference, hence:

H₀:Hₓ-H≠0

The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

More can be learned about hypothesis tests at brainly.com/question/26454209

#SPJ1

-
A road is defined by y = x - 3. A house is
located at the coordinates A(6,5). Determine the
shortest distance from the house to the road.

Answers

so x-3=4 you add 3+4=7 and your answer is x=7

What expression is equivalent to 1-2 sin^2x?

I know the answer is 2cos^2x-1, but unsure how to solve it. Do I use the Pythagorean identity to start?

Thanks!

Answers

Answer:

1-2*sin^2 (x) = 2cos^2(x) -1

Step-by-step explanation:

1-2sin^2(x)

= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)

=1-2+2cos^2(x)=2cos^2(x)-1; distribute

= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms

= 2cos^2(x)-1 = 2cos^2(x)-1

Convert 29/30 to a decimal

Answers

Answer:

0.97

Step-by-step explanation:

To convert a fraction to a decimal, divide the numerator by the denomiator.

29 ÷ 30 = 0.966666667

= 0.97 (rounded)

hope this helps!

Find m/H.
126⁰
F G
m/H=
(6x - 1)
H
(5x +17)

Answers

Answer:

59 degrees

Step-by-step explanation:

180 - 126 = 54

6x-1 + 5x + 17 +54 =180

11x + 70 = 180

11x = 180 -70

11x = 110

x =10

Therefore

6(10) - 1 = 59 degrees

This is a program for development that lists what an athlete hopes to do in order to meet their goals.
A. Feedback
B. Action Plan
C. none of these
D. Area for improvement

Answers

Answer:

B. Action Plan

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
It is a Part A and Part B Question


Note: please add the answer next to what part it's from so I can know which part was answered

Answers

Answer:

Option A is correct.

Step-by-step explanation:

1. solve the inequalities

2. find the intersection :)

What is the volume of a sphere with a radius of 14 cm?
Ayuda, por favor (Help please)​

Answers

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi ( 14)^3

V =3658.666666pi

Using 3.14 for pi

V =11488.21333 cm^3

Using the pi button

V =11494.04032cm^3

Step-by-step explanation:

Volume of sphere----> 4/3π r³

4/3 x 22/7 x 14³. r=14(given)

4. x 22. x 14³

3. 7

4 x 22 x 14x14x2

3

88. x 196 x 2

3

88 x 392

3

34496

3

11498.6 answer

hope this helps you

have a nice day

Help!

Simplify: 9log9(4)

Answers

Answer:

hope this will help you

Step-by-step explanation:

Let x = 9log9(4)

x = 9[log(4)/log(9)]

x = 9*0.6224

x = 5.6016

19
Celeste knows that there are 5,280 feet in 1 mile. What proportion can she use
to find the number of feet in 7 miles?

Answers

Answer:

[tex]\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}[/tex]

Step-by-step explanation:

so there are 5,280 feet in 1 mile

We want to find the number of feet in 7 miles

if we were to set up a proportion it would look something like this :

[tex]\frac{1mile}{5,280ft} =\frac{7miles}{"x"feet}[/tex]

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