A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

Answers

Answer 1

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square


Related Questions

someone help me with this ples with steps

Answers

Answer:

[tex]x=\frac{21}{4}[/tex]

[tex]y=\frac{21}{2}[/tex]

Step-by-step explanation:

equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]

[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]

step2: simplify the expression:

[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]

[tex]2x=\frac{21}{2}[/tex]

(divide by 2 for both sides)

[tex]x=\frac{21}{4}[/tex]

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

[tex]y=\frac{21}{2}[/tex]

Find the value of x. Write your answer as a simplified radical if necessary.

Answers

Answer:

The answer is 3

This triangle is equal to the legs and also angular and by using Pythagoras then

[tex] {x}^{2} + {x}^{2} = {(3 \sqrt{2}) }^{2} \\ 2 {x}^{2} = 18 \\ then \: x = 3[/tex]

6 times x divided by 18

Answers

Answer:

[tex]\frac{6x}{18}[/tex]

Step-by-step explanation:

Manjila gupta birth date​

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Answer:

i am jisoo i am okey

Step-by-step explanation:

jinnie

Can someone please help mehh

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8.5, you follow a^2+b^2=c^2 since it is a right triangle

Answer: b = 7.4 yards

Step-by-step explanation:

In a right angle triangle, the length of each base squared added together is equal to the hypotenuse squared (Pythagorean theorem written as a^2 + b^2 = c^2)

The bases are b and 3 and the hypotenuse is 8

b^2 + 3^2 = 8^2

b^2 + 9 = 64

b^2 = 55

the square root of 55 is approximately 7.4

Name all sets of numbers to which –V 169 belongs.​

Answers

Answer:

Step-by-step explanation:

decrease 40 by 62 1/2%

Answers

Answer:

15

Step-by-step explanation:

Take 62.5 from 100  = 37.5

divide this by 100 = 0.375

times 40 by this

0.375 x 40 = 15

help!!!!! plz! this is suppose to be done in a short time

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Answer:

y=-4/3x

Step-by-step explanation:

best anwser gets brainlist ty show work​

Answers

Answer:

[tex]36b^{6}[/tex]

Step-by-step explanation:

Using exponential rules, this simplifies to [tex]6^{2} \cdot b^{3\cdot2} = 36b^{6}[/tex].

Bob has his own cyber security company. Using the graph answer the following questions

Answers

answer:

you need not attach a graph to this. please do that so we can help you with the questions.

The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
74 units
15 units

Answers

Answer:

5 units is the correct value of W

Will mark brainliest.

Answers

Answer:

A

Step-by-step explanation:

hope it's help.......

Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.

Answers

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

CAN SOMEONE PLS ANSWER-If W(- 10, 4), X(- 3, - 1) , and Y(- 5, 11) classify AEXY by its sides . Show all work to justify your answer

Answers

Answer:

WX = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]XY = [tex]2\sqrt{37} \approx 12.1655251\\\\[/tex]WY = [tex]\sqrt{74} \approx 8.6023253\\\\[/tex]Classify:  Isosceles

============================================================

Explanation:

Apply the distance formula to find the length of segment WX

W = (x1,y1) = (-10,4)

X = (x2,y2) = (-3, -1)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-3))^2 + (4-(-1))^2}\\\\d = \sqrt{(-10+3)^2 + (4+1)^2}\\\\d = \sqrt{(-7)^2 + (5)^2}\\\\d = \sqrt{49 + 25}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]

Segment WX is exactly [tex]\sqrt{74}[/tex] units long which approximates to roughly 8.6023253

-------------------

Now let's find the length of segment XY

X = (x1,y1) = (-3, -1)

Y = (x2,y2) = (-5, 11)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-5))^2 + (-1-11)^2}\\\\d = \sqrt{(-3+5)^2 + (-1-11)^2}\\\\d = \sqrt{(2)^2 + (-12)^2}\\\\d = \sqrt{4 + 144}\\\\d = \sqrt{148}\\\\d = \sqrt{4*37}\\\\d = \sqrt{4}*\sqrt{37}\\\\d = 2\sqrt{37}\\\\d \approx 12.1655251\\\\[/tex]

Segment XY is exactly [tex]2\sqrt{37}[/tex] units long which approximates to 12.1655251

-------------------

Lastly, let's find the length of segment WY

W = (x1,y1) = (-10,4)

Y = (x2,y2) = (-5, 11)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-10-(-5))^2 + (4-11)^2}\\\\d = \sqrt{(-10+5)^2 + (4-11)^2}\\\\d = \sqrt{(-5)^2 + (-7)^2}\\\\d = \sqrt{25 + 49}\\\\d = \sqrt{74}\\\\d \approx 8.6023253\\\\[/tex]

We see that segment WY is the same length as WX.

Because we have exactly two sides of the same length, this means triangle WXY is isosceles.

Marisa’s mother is driving her to a doctor’s appointment in a town 75 mi. away. If they travel at a constant rate of speed of 50 mph, how long will it take to get to the doctor’s office? A. 1 hr. B. 1.5 hr. C. 2.5 hr. D. 3 hr.

Answers

Answer:

B) 1.5 hr

Step-by-step explanation:

75 miles/50 mph = 1.5 hrs

Answer:

B.1.5

Step-by-step explanation: We can already add 1 hour to the answer since 75 minus 50 would be 25. Next, we know that 25 is one half of 50 so that would result in us adding half an hour or 0.5. Now we can add. 1 plus 0.5 results in 1.5

Find the common ratio (r) of the sequence 3, -6, 12, -24, ...

Answers

Answer:

-2

Step-by-step explanation:

3*(-2)=-6

-6*(-2)=12

12*(-2)=-24

Aysha’s new bike has 26 inch diameter wheels. What is the circumference of her new wheel? Give your answer correct to 1 decimal place.

Answers

Answer:

81.6 inches is the circumference

Step-by-step explanation:

Circumference is π times diameter.

We can use a common value of π, 3.14

3.14 × 26 = 81.64

Round to 81.6 inches

David has 1,327.00 on his checking account. if he writes a check for 1,987.00, what will David's balance be​

Answers

The answer is negative 660    (-660)

A shirt is on sale for $15.75. This is 15% off the original price. What was the original price of the shirt?

$18.11

$13.39

$17.25

$18.53

Answers

Divide sale price by (1 - percent of discount):

15.75 / (1- 0.15) =

15.75 / 0.85 = 18.53

Answer = $18.53

Answer:

18.53

Step-by-step explanation:

18.53*0.15≈2.7795

Rounded = 2.78

18.53-2.78=15.75

Plz help I literally suck at math... btw this is 6th grade math (there is an image)

Answers

Answer:

y=7x

Step-by-step explanation:

one way to think of it is by taking a y value from the table like (for example) 42 so you would do something like 42 divided by x = 6, or u could just do 42 divided by 6 which gives u 7. u can check ur answer by plugging in an x value to the equation. so for example we can plug in 8 to y=7x which is basically 7x8 and 7x8 is 56 which is true to the table.

im not rlly good at explaining things im sorry lol but I hope this kinda helped

What is the arithmetic mean of the following numbers? 9, 10, 6, 5, 69,10,6,5,6

Answers

Step-by-step explanation:

First count the numbers how many they are

there are 9 numbers

Then do the sum of all these numbers

9+10+6+5+69+10+6+5+6/9 126/9 - 14

Answer:

13

Step-by-step explanation:

i dont know u tell me

dau coroană pe că o să mă ajute un român și mă ajută în engleză sau germană sau așa e bine Sper să îmi răspundeți mai repede că trebuie să fac cât mai repede tema și vorbim când ne răspundeți ​

Answers

Answer:

hii baby

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Which situation would best be modeled by the direct variation y = kx?

Answers

Answer:

y is directly proportional to x

Step-by-step explanation:

if y is directly proportional to x it has to have a constant which is k

Answer:

The amount of money you make for working x hours at k dollars per hour.

Step-by-step explanation:

I put this so, It going to be right.

x^{2}-3x-40=0x
2
−3x−40=0

Answers

Answer:

what the

Step-by-step explanation:

what is that weird

D-13=6
F-26=12
M+18=109
56+k=231

How do you solve these with steps

Answers

Answer:

D=6+13=19

Step-by-step explanation:

F=26+12=38

M=109-18=91

k=231-56=175

HELPPPPPP ASAPPPP PLSSSS

Answers

Answer:

a. 43

Step-by-step explanation:

This question is asking how much candy he had initially.

This means that t = 0 days

Thus anything to the power of 0 is just 1.

Hence: 43 x 1 = 43 candies

what is 6/10 as hundredths in fraction form and in decimal form

Answers

Answer:

Hundredths: [tex]\frac{6}{10}[/tex]

6 × 10 = 60 & 10 × 10 = 100

(multiply both the numerator and denominator by 10)

Decimal: 0.6

6 ÷ 10 =

good luck, hope this helps :)

You are making a plan to paint your bedroom walls. Describe the shape of your bedroom and how you can use the geometry formulas to calculate how much paint that you will.

Answers

Answer:

we can use the formula of area of four wall

and the cost of painting the wall

Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.

Answers

Answer:

108

Step-by-step explanation:

If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.

Answer:

a

Step-by-step explanation:

18 divded by 6 is 3

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1:Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2:Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3:Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4:Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5:Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.)  2x+3y=1,470  

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3

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