Question

the formula for the perimeter of a rectangle is P=2L+2W were L is length and W is width. A rectangle has a perimeter of 24 inches. Find it's demensions of its length is 3 inches greater than its width.
Please explain how to do this

Answer 1

Hi There!

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We Know:

Length is 3 times greater than the width.

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Find:

The Perimeter

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Solution:

3 x 3 = 9

9 + 9 = 18

18 + 3 = 21

21 + 3 = 24

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Answer:

Length: 9

Width: 3

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Reason:

The reason that's the answer is because the width is exactly 3 times less than the length.

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Hope This Helps :)

Answer 2

Answer: The length is 15/2 in and the width is 9/2 in.

Step by step:

Set up the equations that reflect what is said:

2L + 2W = 24     | perimeter of the rectangle is 24

L = W + 3     | length is three inches greater that its width

now solve for L and W:

2L + 2W = 24

L -W = 3     | multiply by 2 and add equations:

4L + 0W = 30

--> L = 30/4 = 15/2

--> W = 15/2 -3 = 9/2