Question

the length of a rectangle is five times its width. if the perimeter of the rectangle is 60 in, find its length and width. length: in width: in

Explanation:

Step1: Set up variables

Let the width of the rectangle be \( w \) inches. Then the length \( l = 5w \) inches.

Step2: Use the perimeter formula

The perimeter formula for a rectangle is \( P=2(l + w) \). Substitute \( l = 5w \) and \( P = 60 \) into the formula:

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Step3: Solve for \( w \)

Divide both sides of the equation \( 60 = 12w \) by 12: \( w=\frac{60}{12}=5 \)

Step4: Solve for \( l \)

Since \( l = 5w \), substitute \( w = 5 \) into the equation: \( l=5\times5 = 25 \)

Answer:

length: \( 25 \) in, width: \( 5 \) in