Question

answer the questions below. (a) the area of a rectangular parking lot is 5280 m². if the length of the parking lot is 96 m, what is its width? width of the parking lot: m (b) the perimeter of a rectangular pool is 280 m. if the width of the pool is 62 m, what is its length? length of the pool: m

Explanation:

Part (a)

Step1: Recall area formula for rectangle

The area \( A \) of a rectangle is given by \( A = \text{length} \times \text{width} \), so \( \text{width} = \frac{A}{\text{length}} \).

Step2: Substitute values

Given \( A = 5280 \, \text{m}^2 \) and length \( = 96 \, \text{m} \), then width \( = \frac{5280}{96} = 55 \, \text{m} \).

Part (b)

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is \( P = 2(\text{length} + \text{width}) \), so \( \text{length} = \frac{P}{2} - \text{width} \).

Step2: Substitute values

Given \( P = 280 \, \text{m} \) and width \( = 62 \, \text{m} \), first calculate \( \frac{280}{2}=140 \), then length \( = 140 - 62 = 78 \, \text{m} \).

Answer:

55