Question

The area of the trapezoid is 40 square units.

A trapezoid is shown. The lengths of the bases are 6 and 10, and the height of the altitude is h.

What is the height of the trapezoid?
3 units
5 units
10 units
12 units

Answer 1

The altitude of the trapezoid, based on the given parameters is 5 units

How to determine the height of the trapezoid?

From the question, we have the following parameters about the trapezoid

Base length 1 of the trapezoid = 6

Base length 2 of the trapezoid = 10

Area of the trapezoid = 40

Altitude of the trapezoid = h

The area of the trapezoid is calculated using

Area = 0.5 * (Sum of the two base lengths) * Altitude of the trapezoid

Substitute the given parameters in the above formula

40 = 0.5 * (6 + 10) * h

Evaluate the sum of 6 ad 10 (do not approximate)

40 = 0.5 * (16) * h

Evaluate the product of 0.5 and 16 (do not approximate)

40 = 8 * h

Divide both sides by 8 (do not approximate)

h = 5

Hence, the altitude of the trapezoid, based on the given parameters is 5 units

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