Question

which figure has a greater area?
image of a rectangle with length 12.7 yd and width 11.5 yd
image of a rectangle with length 10 yd and height 17 yd
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Explanation:

Step1: Calculate area of first rectangle

The first rectangle has length \( 12.7 \) yd and width \( 11.5 \) yd. The area of a rectangle is given by \( A = l \times w \). So, \( A_1 = 12.7 \times 11.5 \). Calculating that: \( 12.7 \times 11.5 = 146.05 \) square yards.

Step2: Calculate area of second rectangle

The second rectangle has length \( 10 \) yd and width \( 17 \) yd. Using the same formula, \( A_2 = 10 \times 17 = 170 \) square yards.

Step3: Compare the two areas

Now we compare \( 146.05 \) and \( 170 \). Since \( 170 > 146.05 \), the second rectangle (the purple one) has a greater area.

Answer:

The purple rectangle (with dimensions 10 yd and 17 yd) has a greater area.