Question

The image of a trapezoid is shown.

An isosceles trapezoid with a short base of 3 meters and a height of 5.8 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.

What is the area of the trapezoid?

17.4 m2
20.3 m2
40.6 m2
69.6 m2

Answer 1

(c) 40.6 m²

Explanation:

You want the area of a trapezoid with bases 11 m and 3 m, and height 5.8 m.

Area

The area of the trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

A = 1/2(3 m + 11 m)(5.8 m) = 40.6 m²

The area of the trapezoid is 40.6 m², matching choice C.

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Additional comment

The length of the long base is the sum of the lengths of its parts:

4 m + 7 m = 11 m

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