Question

1. the perimeter of a rectangle is 80 feet. if the length of one side is 25 feet, what is the length of the other side?

Explanation:

Step1: Recall the perimeter formula of a rectangle

The perimeter formula of a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Given \(P = 80\) feet and \(l = 25\) feet.

Step2: Substitute the values into the formula

Substitute \(P = 80\) and \(l = 25\) into \(P = 2(l + w)\), we get \(80=2(25 + w)\).
First, divide both sides of the equation by 2: \(\frac{80}{2}=\frac{2(25 + w)}{2}\), which simplifies to \(40=25 + w\).

Step3: Solve for \(w\)

Subtract 25 from both sides of the equation \(40=25 + w\). So \(w=40 - 25\).

Answer:

15 feet