Problem

The length of a rectangle is five times its width. If the perimeter of the rectangle is 84in, find its area.

Answer

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Answer

A=245 square inches.

Steps

Step 1 ：Let the width of the rectangle be w and the length be 5w.

Step 2 ：Use the formula for the perimeter of a rectangle: P=2(l+w).

Step 3 ：Plug in the given values: 84=2(5w+w).

Step 4 ：Solve for w: 84=12w which gives w=7.

Step 5 ：Find the length: l=5w=5(7)=35.

Step 6 ：Find the area using the formula A=l∗w: A=35∗7.

Step 7 ：A=245 square inches.

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