Question

answer the questions below.
(a) the area of a rectangular parking lot is 4914 m².
if the length of the parking lot is 78 m, what is its width?
width of the parking lot: m
(b) the perimeter of a rectangular pool is 314 m.
if the width of the pool is 71 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 \( A = 4914 \, \text{m}^2 \) and length \( = 78 \, \text{m} \), then width \( = \frac{4914}{78} \).
Calculate \( \frac{4914}{78} = 63 \).

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 \( P = 314 \, \text{m} \) and width \( = 71 \, \text{m} \), first find \( \frac{314}{2} = 157 \), then length \( = 157 - 71 = 86 \).

Answer:

63

Part (b)