Question

1. using the rectangle in question 13, if a=10 ft and the perimeter is 50 ft, what is b?

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2(a + b) \), where \( a \) and \( b \) are the length and width.

Step2: Substitute known values

We know \( P = 50 \) ft and \( a = 10 \) ft. Substitute into the formula: \( 50 = 2(10 + b) \).

Step3: Solve for \( b \)

First, divide both sides by 2: \( \frac{50}{2}=10 + b \), so \( 25 = 10 + b \). Then subtract 10 from both sides: \( b = 25 - 10 = 15 \).

Answer:

\( b = 15 \) ft