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example 10: the width of a rectangle is eight feet more than the length…

Question

example 10: the width of a rectangle is eight feet more than the length. the perimeter is 60 feet. find the length and width.

Explanation:

Step1: Let length be $x$.

Width is $x + 8$.

Step2: Use perimeter formula.

$2(x+(x + 8))=60$.

Step3: Simplify equation.

$2(2x + 8)=60$, $4x+16 = 60$, $4x=44$, $x = 11$.

Step4: Find width.

Width is $11 + 8=19$.

Answer:

Length is 11 feet, width is 19 feet.