Question

What is the area of the trapezoid? The diagram is not drawn to scale.

A. 14 cm2

B. 20 cm2

C. 38 cm2

D. 56 cm2
THE ANSWER WAS D

Answer 1

For this case we must find the area of the figure shown.

By definition, the area of a triangle is given by:

`A_ {t} = \frac {b * h} {2}`

The area of a rectangle is given by:

`A_ {r} = a * b`

Thus, the total area is:

`A = 2 * A_ {t} + A_ {r}`

Triangle area:

`b = 5 \ cm\\h = 4 \ cm\\A_ {t} = \frac {5 * 4} {2} = 10 \ cm ^ 2`

Area of the rectangle:

`a = 9 \ cm\\b = 4 \ cm\\A_ {r} = a * b = 9 * 4 = 36 \ cm ^ 2`

So:

`A = 2 * A_ {t} + A_ {r}\\A = 2 * 10 + 36\\A = 20 + 36\\A = 56 \ cm ^ 2`

Answer:

Option D