Question

1. the perimeter of the picture frame is 102 centimeters. the length of the frame is 18 centimeters. what is the width?

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

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

Step2: Substitute the known values into the formula

Given \(P=102\) cm and \(l = 18\) cm. So, \(102=2(18 + w)\).

Step3: Simplify the equation

Divide both sides of the equation by \(2\): \(\frac{102}{2}=\frac{2(18 + w)}{2}\), which gives \(51=18 + w\).

Step4: Solve for \(w\)

Subtract \(18\) from both sides: \(w=51 - 18\).

Answer:

\(33\) centimeters