The area of the trapezoid is 392 cm2, the height is 14 cm. Find the base of the trapezoid

univerkov | August 13, 2021 | education

The area of the trapezoid is 392 cm2, the height is 14 cm. Find the base of the trapezoid if it is known that one of them is 6 times smaller than the other.

Let the length of the base BC = X cm, then the length of the base AD = (X + 6) cm.

Then Savs = (BC + AD) * CH / 2 = (X + X + 6) * 14/2 = 392.

2 * X = 2 * 392/14 – 6 = 50.

X = BC = 50/2 = 25 cm.

AD = 25 + 6 = 31 cm.

Answer: The lengths of the bases are 25 cm and 31 cm.

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