Question

charlene is building a rectangular fence. the length is 8 feet longer than the width. the total perimeter of the rectangle is 76 feet. what is the length of the rectangle.

Answer 1

L = W+8

P = 76 ft = 2(W) + 2(W+8) = 2W + 2W + 16 = 4W + 16.

Then 70 ft=4w, and w=70/4 = 35/2

L = W + 8 (as before).  Then L = (35/2) + 8 = 25.5 = 25 1/2 = 51/2 (answer)

Answer 2

The length is 8 feet longer than the width the total perimeter of the rectangle is 76 feet. Then, the length of the rectangle is 23.

How to find the length of the rectangle?

Given:

The length is 8 feet longer than the width.

The total perimeter of the rectangle is 76 feet.

Based on the given conditions, formulate:

$2 \times(2 \times x-8)=76$

Reduce the greatest common factor on both sides of the equation:

2x - 8 = 38

By dividing the equation throughout by 2, then we get

x - 4 = 19

Rearrange the terms to the left side of the equation, then we get

x = 19 + 4

x = 23

Therefore, the length of the rectangle is 23.

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