Question

which figure has a greater area?
9.6 m
6 m
7.6 m
7.6 m
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Explanation:

Step1: Calculate area of rectangle

The formula for the area of a rectangle is \( A = l \times w \), where \( l = 9.6 \, \text{m} \) and \( w = 6 \, \text{m} \). So, \( A_{\text{rectangle}} = 9.6 \times 6 = 57.6 \, \text{m}^2 \).

Step2: Calculate area of square

The formula for the area of a square is \( A = s \times s \), where \( s = 7.6 \, \text{m} \). So, \( A_{\text{square}} = 7.6 \times 7.6 = 57.76 \, \text{m}^2 \).

Step3: Compare the areas

Compare \( 57.6 \) and \( 57.76 \). Since \( 57.76 > 57.6 \), the square (blue figure) has a greater area.

Answer:

The square (the blue figure with side length 7.6 m) has a greater area.