Question

1. the perimeter of the rectangle was 26 feet. if the length of the rectangle was 7 feet, how wide was the rectangle?

Explanation:

Step1: Write the formula for the perimeter of a rectangle

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

Step2: Substitute the known values into the formula

We know that \(P = 26\) feet and \(l=7\) feet. So, \(26 = 2(7 + w)\).

Step3: Simplify the equation

First, divide both sides of the equation by 2: \(\frac{26}{2}=\frac{2(7 + w)}{2}\), which gives \(13=7 + w\).

Step4: Solve for \(w\)

Subtract 7 from both sides: \(w=13 - 7\).

Answer:

The width of the rectangle is \(6\) feet.