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a garden consists of a sandpit surrounded by lawn. the sandpit is 2m x …

Question

a garden consists of a sandpit surrounded by lawn. the sandpit is 2m x 1m and the garden is 5m x 3m. what is the lawn area?

Explanation:

Step1: Calculate garden area

The garden is a rectangle with length \( 5m \) and width \( 3m \). The area of a rectangle is given by \( \text{Area} = \text{length} \times \text{width} \). So, the area of the garden is \( 5 \times 3 = 15 \, m^2 \).

Step2: Calculate sandpit area

The sandpit is a rectangle with length \( 2m \) and width \( 1m \). Using the same area formula for a rectangle, the area of the sandpit is \( 2 \times 1 = 2 \, m^2 \).

Step3: Calculate lawn area

The lawn area is the area of the garden minus the area of the sandpit. So, we subtract the sandpit area from the garden area: \( 15 - 2 = 13 \, m^2 \).

Answer:

The lawn area is \( 13 \, m^2 \).