The width of a rectangle is 4cm less than the length. If each dimension were increased by 3cm, the width of the new rectangle formed would be 2/3 the length of the new rectangle. Find the dimensions of the original rectangle.

Answers

Answer 1

Answer:

The original length is 9 cm and the original width 5 cm

Step-by-step explanation:

The area of  a rectangle A is given as the product of its' length L and width W.

Given that the width of a rectangle is 4cm less than the length then

W = L - 4

If each dimension were increased by 3cm, then the new

Length

= L + 3

Width

= W + 3

the width of the new rectangle formed would be 2/3 the length of the new rectangle

W + 3 = 2/3(L + 3)

3W + 9 = 2L + 6

3W = 2L +6 - 9

3W = 2L - 3

Recall that W = L - 4

3(L - 4) = 2L - 3

3L - 12 = 2L - 3

3L - 2L = 12 - 3

L = 9 cm

W = 9 - 4

= 5 cm


Related Questions

In which table does y vary directly with x?

Answers

um i thinks it’s c i’m not sure

A sum of was to be shared among three siblings, Rombe nikita and kimroy in the ratio 3:7:9. it nikita received $2500 more than Rambo. Evaluate.

i) The sum of money shared...

ii) kimroy's share. please hurry!!! and give me the full working out to solve the solution.

Answers

Answer:

Step-by-step explanation:

Formula: share/# of parts × amount = Total

# of parts= 3+7+9= 19

so= 3/19 × $2500 = $7500

= $7500 × 3

= $22500

do the same for the others to get the shared. oh and also 3/19 is a fraction. hope it was helpful.✌

Find the perimeter of the rectangle below.
5x2 - 6
2x2

Answers

The answer Is 4! Good luck

The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.

Answers

Answer:.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.2

4e-12=36 how do u solve this

Answers

Answer:

4e-12=36

4e=36+12

4e=48

e=12

Step-by-step explanation:

pasos

1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)

2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)

3sumar los números es decir sumar (36+12)

4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)

5cualquier expresión dividida entre si es igual a 1

6calcular el cociente es decir (48/4 e=12)

Answer:

12

Step-by-step explanation:

4e=36+12

4e=48

e=12

hope it helps

A rectangle of length 14 cm and breadth 7 cm is folded into a right circular cylinder. How many revolutions does the cylinder need to make to cover an area of 784 sq.Cm

Answers

Answer:

n = 8

Step-by-step explanation:

Given that,

Length and breadth of a rectangle are 14 cm and 7 cm.

The area of rectangle is given by :

[tex]A=l\times b\\\\A=14\times 7\\A=98\ cm^2[/tex]

Let n be the number of revolutions the cylinder need to make to cover an area of 784 sq.cm.

So,

[tex]n=\dfrac{784}{98}\\\\n=8[/tex]

Hence, there are 8 revolutions.

Casey bought a 100 pound bag of dog food for his dogs. Casey gave them the same amount of dog food each week. The dog food lasted 8 weeks How much dog food did Casey give his dogs each week? Give the answer as a fraction or mixed number​

Answers

12.5 pounds

100 pounds / 8 = 12.5 pounds

Solving the formula P = 2L + 2W for W is NOT equivalent to which equation?

Answers

Answer:

3rd one

Step-by-step explanation:

2l + 2w = P

2w = P - 2l

w = P - 2l / 2

Therefore, the equivalent equation to the given equation is [tex]w=P-\frac{1(L)}{2}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]2L + 2w = P\\\\2(L+w)=P\\\\L+w=\frac{1}{2}P\\\\w=\frac{1}{2}P-L\\\\w=\frac{P-2L}{2}\\\\w=P-\frac{1}{2}L[/tex]

Hence, the equivalent equation to the given equation is [tex]w=P-\frac{1(L)}{2}[/tex].

To know more about the equation

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Which triangle is a 30°-60°-90° triangle?
10
ch
5
5/3
15
5
53
10
O 5
10./3
15
10
5/3

Answers

Answer:

the first one

Step-by-step explanation:

Hey There!

Look at the image for the rule of a 30- 60 - 90 triangle

x = 5

the hypotenuse would be x2 so 10

the longer leg would be x[tex]\sqrt{3}[/tex]

So the first triangle is the right answer

The first triangle in the figure is a 30°-60°-90° triangle.

What is a triangle?

A triangle is a polygon with three sides and three angles.

Given are triangles, we need to see which of them are a 30°-60°-90° triangle,

So,

In a 30°60°-90° triangle, the side opposite the 30° angle (shortest side) is half the length of the hypotenuse.

So you have to choose one with 5 & 10.

Use the Pythagorean theorem to calculate the remaining side

a² + b² = c²

5² + b² = 10²,   so b² = 100-25  √b²=√75  so √(25)(3)  

b= 5√3

Hence, the first triangle in the figure is a 30°-60°-90° triangle.

Learn more about triangles, click;

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Please find the measure of each angle in the degrees!

Answers

Answer:

A》39°

B》91°

C》59°

Step-by-step explanation:

hope it helps

have a great day!!

degrees degrees degrees

factorise a x + b x minus A Y minus b y​

Answers

x(a+b)-y(a+b)
*factor out (a+b)*
=(a+b)(x-y)

Which mapping(s) below represent(s) a function?


Answers

Answer: D

Step-by-step explanation:

The answer is letter

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

[Help asap, will mark brainliest when it allows me] What is the value of x?

Answers

Answer:

x = 45 degrees

Step-by-step explanation:

The angles in a triangle adds up to 180 degrees

105 + 30 + x = 180

==>

x = 180-135=45

help.. again please tysm :)

Answers

Answer:

No Solutions

Step-by-step explanation:

The two points are (3,2) and (-2,-2)

Slope is y change over x change.

So... -2-2 over -2-3 equals to -3-(-2) over -2-(-2).

That is -3+2 over -2+2 which is -2 over 0.

You can't divide by zero so the slope is "NoSolutions"

Hope this helps :)

Delvin conduct a scientific experiment for a certain time the temperature of a compound rose 1 3/4 every 2 1/3 hours how much is the temperature of the compound rise in one hour?

Answers

skskksdkswppswknrenennenje

7) cos C
А
29
21
В
с
20
Trigonometric ratio

Answers

Answer:

c.20

Step-by-step explanation:

Can I plz get help??? And a I need like a step to step solving it plzz

Answers

Answer:

V = 386.04

Step-by-step explanation:

V = [tex]\frac{4}{3}\pi r^{2}[/tex]

V = [tex]\frac{4}{3}\pi 9.6^{2}[/tex]

V = (4/3)[tex]\pi[/tex]92.16

V = 122.88[tex]\pi[/tex]

V = 386.04

HELPPPPPP!!!

find each missing length. give all answers in the simplest radical form.

Answers

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

Si a:b:c= 4:3:2 ayudaaaa

Answers

Answer:

a=6 b=4 3=2.55555555567

Find the value of x in the triangle shown below.
1.5
2.5
X

Answers

So 2.5^2= 1.5^2 +b^2
6.25= 2.25 +b^2
Subtract 2.25 on each side
4= b^2
Take the square root of each side
X=2

Hope it helps

Answer:

X=2

Step-by-step explanation:

Khan academy

I need help plz help I will give brainiest plz

Answers

Answer:

1 = 60 cm. 2 = weeks 4-5

Step-by-step explanation:

Identify the coefficients in the expression 4a + 15-3k *

Answers

coefficients are basically numbers in front of the variable...
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Which one of these represents the graph in this picture right here ? A,B,C,D,E or F?
PLEASE HELP

Answers

Answer:

A) y=3x+1

Step-by-step explanation:

Use the formula y=mx+b

m is the slope and b is the y intercept

the graph starts on 1 on the y axis so you replace 1 for b

the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.

Hiiiooo! Can somebody please help me! Much love❤️❤️❤️Thank you!! :D

Answers

Answer:

x = 21 m

Step-by-step explanation:

Tan ∅ = [tex]\frac{opposite sides}{adjacent side}\\[/tex]

[tex]tan 40 = \frac{x}{25}\\\\0.84 = \frac{x}{25}\\\\0.84*25=x\\\\x = 21[/tex]

what is the value of this example?

[tex] \frac{1}{6} | \div 12[/tex]

Answers

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Step-by-step explanation:

Help me
How many countries does Bollywood have?


Group of answer choices


A.Between 5,000-10,000


B. Over 25,000


C. Between 0-100


D. Between 50,000-100,000

Answers

I think it is A hope I’m right

A cleaning solution uses 2 cups of vinegar for every 3 quarts of water. How many cups of vinegar are needed to make a cleaning solution containing 3 gallons of water?

Answers

Answer:

8 cups

Step-by-step explanation:

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Can someone solve this please? (Radical Form)

Answers

Step-by-step explanation:

16+48=68 that's it good luck

pls halp
Which of the following would be the correct formula for determining the volume of the cone shown below?

Answers

1/3 (4^2) 5 = V (the first one!)
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