Question

answer the questions below.
(a) the area of a rectangular garden is 7896 m².
if the length of the garden is 94 m, what is its width?
width of the garden: m
(b) the perimeter of a rectangular window is 328 cm.
if the width of the window is 73 cm, what is its length?
length of the window: cm

Explanation:

Part (a)

Step1: Recall rectangle area formula

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 \( A = 7896 \, \text{m}^2 \) and length \( = 94 \, \text{m} \), width \( = \frac{7896}{94} \).
Calculate \( 7896 \div 94 = 84 \).

Step1: Recall rectangle perimeter formula

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

Step2: Substitute values

Given \( P = 328 \, \text{cm} \) and width \( = 73 \, \text{cm} \), first find \( \frac{328}{2} = 164 \), then length \( = 164 - 73 = 91 \).

Answer:

84

Part (b)