# The bases of a rectangular trapezoid are 2 and area 4 = 45. Find the height of the trapezoid.

May 31, 2021 | education

| From the condition of the problem, the magnitude of the larger and smaller bases of the trapezoid is known, and its area is also known. Since the area of the trapezoid is equal to the product of half the sum of the bases and the height, that is, S = (a + b) / 2 * h, so h = S / ((a + b) / 2));

Let’s determine what the height of the trapezoid is.

45 / ((2 + 4) / 2)) = 45 / (6/2) = 45/3 = 15 centimeters.

Answer: Height 15 centimeters.

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