A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. She wants the area to be 225 square yards. The situation is modeled by the equation, , where h is the height, in yards, and b1 and b2 are the length of the two bases, in yards. Complete the square to find the height that will give the desired area. Round to the nearest hundredth of a yard.
25.41 yards
460 yards
15.21 yards
12.71 yards

Question

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. She wants the area to be 225 square yards. The situation is modeled by the equation, , where h is the height, in yards, and b1 and b2 are the length of the two bases, in yards. Complete the square to find the height that will give the desired area. Round to the nearest hundredth of a yard. 
25.41 yards
460 yards
15.21 yards
12.71 yards

anonymous · Answer

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anonymous · Answer

A = 0.5 (sum of parallel sides)(h)

anonymous · Answer

you'd get a quadratic equation giving two values for "h" (both or only one possible)