Question

a rectangle has a width of 57 centimeters and a perimeter of 234 centimeters. what is the rectangles length? the length is cm.

Explanation:

Step1: Recall the perimeter formula

The perimeter formula of a rectangle is \(P = 2\times(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width.

Step2: Substitute the known values

Given \(P = 234\) cm and \(w = 57\) cm. Substitute into the formula: \(234=2\times(l + 57)\).

Step3: Solve for \(l + 57\)

Divide both sides of the equation by 2: \(\frac{234}{2}=l + 57\), so \(117=l + 57\).

Step4: Solve for \(l\)

Subtract 57 from both sides: \(l=117 - 57\).

Answer:

\(60\)