Question

1. a digital billboard has an area of 729.6 square feet. what is the perimeter of the billboard? 48 ft

Explanation:

Step1: Identify the shape and known values

The billboard is a rectangle. We know the area \( A = 729.6 \) square feet and the length \( l = 48 \) feet. The formula for the area of a rectangle is \( A = l \times w \), where \( w \) is the width.

Step2: Solve for the width

Rearrange the area formula to solve for \( w \): \( w=\frac{A}{l} \). Substitute the known values: \( w = \frac{729.6}{48} = 15.2 \) feet.

Step3: Calculate the perimeter

The formula for the perimeter \( P \) of a rectangle is \( P = 2(l + w) \). Substitute \( l = 48 \) and \( w = 15.2 \): \( P = 2(48 + 15.2)=2\times63.2 = 126.4 \) feet.

Answer:

The perimeter of the billboard is \( 126.4 \) feet.