Question

which figure has a greater perimeter?
7 ft 20 ft 20 ft 7 ft
11 ft 13 ft 13 ft 11 ft
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Explanation:

Step1: Calculate perimeter of first parallelogram

Perimeter of a parallelogram is \( 2\times(\text{length} + \text{width}) \). For the first figure, length = 20 ft, width = 7 ft. So perimeter \( P_1 = 2\times(20 + 7) = 2\times27 = 54 \) ft.

Step2: Calculate perimeter of second parallelogram

For the second figure, length = 13 ft, width = 11 ft. Perimeter \( P_2 = 2\times(13 + 11) = 2\times24 = 48 \) ft.

Step3: Compare the perimeters

Since \( 54 > 48 \), the first parallelogram (with sides 20 ft and 7 ft) has a greater perimeter.

Answer:

The parallelogram with sides 20 ft, 7 ft, 20 ft, 7 ft (the left - hand figure) has a greater perimeter.