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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

Sarah has a rectangular swimming pool that measures 12 feet(ft) by 72(ft) across the surface. To the nearest foot, what is the diagonal distance across the surface of the pool?

A.60ft
B.71ft
C.73ft
D.84ft

答案和解析

答案：C

解析：

Choice C is correct. The Pythagorean theorem can be used to calculate the diagonal length of the swimming pool surface where a and b are the side lengths of the pool surface.

c²=a²+b²=12²+72²=5328，c=±73

A negative distance is not possible in this context, so the diagonal distance across the swimming pool surface is about 73ft.