The middle line of the trapezoid is 13 cm and the lower base is 4 larger than the upper one, find the base of the trapezoid.

univerkov | February 24, 2021 | education

Let the length of the smaller base of the trapezoid be equal to X cm, then, by condition, the length of the larger base will be equal to (X + 4) cm.

The length of the midline of the trapezoid is equal to half the sum of the lengths of its bases.

KР = (BC + AD) / 2.

13 = (X + X + 4) / 2.

2 * X + 4 = 26.

2 * X = 22.

X = BC = 22/2 = 11 cm.

Then AD = 11 + 4 = 15 cm.

Answer: The bases of the trapezoid are 11 cm and 15 cm.

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