# Find the height of the trapezoid if the area of the trapezoid is 28.The sum of the lengths of the bases is 14.

July 24, 2021 | education

| A trapezoid is a quadrangle in which only two sides are parallel and the sides are not equal.

Since the area of the trapezoid is equal to the product of the half-sum of its bases and the height S = (a + b) / 2 h, its height is equal to:

h = 2S / (a + b), where:

h – height;

S is the area of the trapezoid;

a, b – its bases;

h = 2 28/14 = 56/14 = 4 cm.

Answer: the height of the trapezoid is 4 cm.

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