Question

(a) the area of a rectangular garden is 8811 m². if the width of the garden is 89 m, what is its length? length of the garden:
m

Explanation:

Step1: Recall the formula for the area of a rectangle

The area \( A \) of a rectangle is given by the formula \( A = l \times w \), where \( l \) is the length and \( w \) is the width. We need to find the length \( l \), so we can rearrange the formula to \( l=\frac{A}{w} \).

Step2: Substitute the given values into the formula

We know that the area \( A = 8811 \, \text{m}^2 \) and the width \( w = 89 \, \text{m} \). Substituting these values into the formula for length, we get \( l=\frac{8811}{89} \).

Step3: Perform the division

Calculating \( \frac{8811}{89} \), we find that \( 89\times99 = 8811 \) (since \( 90\times89 = 8010 \) and \( 9\times89 = 801 \), then \( 8010 + 801 = 8811 \)). So \( l = 99 \, \text{m} \).

Answer:

The length of the garden is \( 99 \) meters.