Question

which figure has a greater area?
15.9 cm
11 cm
8 cm
9.6 cm
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Explanation:

Step1: Calculate area of rectangle

The formula for the area of a rectangle is \( A = \text{length} \times \text{width} \). Here, length is \( 15.9 \, \text{cm} \) and width is \( 8 \, \text{cm} \). So, \( A_{\text{rectangle}} = 15.9 \times 8 = 127.2 \, \text{cm}^2 \).

Step2: Calculate area of parallelogram

The formula for the area of a parallelogram is \( A = \text{base} \times \text{height} \). Here, base is \( 9.6 \, \text{cm} \) and height is \( 11 \, \text{cm} \). So, \( A_{\text{parallelogram}} = 9.6 \times 11 = 105.6 \, \text{cm}^2 \).

Step3: Compare the two areas

Since \( 127.2 > 105.6 \), the rectangle (green figure) has a greater area.

Answer:

The green rectangular figure (with dimensions 15.9 cm and 8 cm) has a greater area.