Question

answer the questions below.
(a) the perimeter of a rectangular garden is 352 m.
if the length of the garden is 95 m, what is its width?
width of the garden: m
(b) the area of a rectangular window is 5673 cm².
if the width of the window is 61 cm, what is its length?
length of the window: cm

Explanation:

Part (a)

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times (length + width) \). We know \( P = 352 \) m and \( length = 95 \) m. Let the width be \( w \). So, \( 352 = 2\times(95 + w) \).

Step2: Solve for width

First, divide both sides by 2: \( \frac{352}{2}=95 + w \), which simplifies to \( 176 = 95 + w \). Then, subtract 95 from both sides: \( w=176 - 95 \).

Step3: Calculate the result

\( 176-95 = 81 \).

Step1: Recall area formula for rectangle

The area \( A \) of a rectangle is given by \( A = length\times width \). We know \( A = 5673 \) \( cm^2 \) and \( width = 61 \) cm. Let the length be \( l \). So, \( 5673=l\times61 \).

Step2: Solve for length

To find \( l \), divide both sides by 61: \( l=\frac{5673}{61} \).

Step3: Calculate the result

\( \frac{5673}{61}=93 \).

Answer:

81

Part (b)