Question

find the perimeter of a rectangle whose length is 28 centimeters and whose width is 11 centimeters less than its length
the perimeter of the rectangle is
(simplify your answer.)

Explanation:

Step1: Find the width

The width is 11 centimeters less than the length. Given length \( l = 28\) cm, so width \( w=l - 11=28 - 11 = 17\) cm.

Step2: Use the perimeter formula

The perimeter formula of a rectangle is \(P = 2(l + w)\). Substitute \(l = 28\) and \(w = 17\) into the formula: \(P=2(28 + 17)\).
First, calculate the sum inside the parentheses: \(28+17 = 45\). Then multiply by 2: \(P = 2\times45=90\).

Answer:

90