Question

which figure has a greater area?
10.2 yd
10.2 yd
11 yd
11 yd
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Explanation:

Step1: Calculate area of first square

The first figure is a square with side length \( 10.2 \) yd. The formula for the area of a square is \( A = s^2 \), where \( s \) is the side length. So, the area \( A_1 = (10.2)^2 \). Calculating that, \( 10.2\times10.2 = 104.04 \) square yards.

Step2: Calculate area of second square

The second figure is a square with side length \( 11 \) yd. Using the same area formula for a square, \( A = s^2 \), the area \( A_2=(11)^2 = 121 \) square yards.

Step3: Compare the two areas

Now, compare \( A_1 = 104.04 \) and \( A_2 = 121 \). Since \( 121>104.04 \), the second square (with side 11 yd) has a greater area.

Answer:

The square with side length 11 yd (the second figure) has a greater area.