Question

a garden consists of a pool surrounded by a lawn. we need to buy seed to make a lawn. the area of the lawn, correct to the nearest m² is equal to: (all dimensions are in m)

Explanation:

Step1: Calculate area of the garden (outer rectangle)

The garden is a rectangle with length \( 38 \, \text{m} \) and width \( 16 \, \text{m} \). The area of a rectangle is given by \( \text{length} \times \text{width} \). So, the area of the garden is \( 38 \times 16 \).

$$ 38 \times 16 = 608 \, \text{m}^2 $$

Step2: Calculate area of the pool (inner rectangle)

The pool is a rectangle with length \( 15 \, \text{m} \) and width \( 7 \, \text{m} \). Using the same rectangle area formula, the area of the pool is \( 15 \times 7 \).

$$ 15 \times 7 = 105 \, \text{m}^2 $$

Step3: Calculate area of the lawn

The area of the lawn is the area of the garden minus the area of the pool. So, we subtract the area of the pool from the area of the garden: \( 608 - 105 \).

$$ 608 - 105 = 503 \, \text{m}^2 $$

Answer:

\( 503 \, \text{m}^2 \)