The rectangles below have the same perimeter. What is the area of the purple rectangle?
The rectangles below have the same perimeter.
What is the area of the purple rectangle?
What is the area of the purple rectangle?
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info@snapandsolve.comThe perimeter of the gray rectangle is 2(8 mi + 8 mi) = 32 mi. Since the purple rectangle has the same perimeter, its perimeter is also 32 mi. Given that one side of the purple rectangle is 9 mi, let the other side be x mi. Therefore, 2(9 mi + x mi) = 32 mi. Solving for x gives x = 7 mi. The area of the purple rectangle is 9 mi * 7 mi = 63 square miles.
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