Find the area of the trapezoid. A. 675 ft2 B. 337.5 ft2 C. 187.5 ft2 D. 150 ft2

Question

asked Dec 15, 2018 29.8k views

2 Answers

Swennemen · Answer 1 · 2018-12-20T08:42:18+0000

Answer: B.
$337.5\text{ ft.}^2$

Explanation:

The area of trapezoid is given by :-

$\text{Area}=(1)/(2)h(a+b)$ , where a and b are the parallel sides and h is the height.

From the given picture, we have

Height (h) = 15 ft

a = 20 ft.

b = 25 ft.

Then , the area of trapezoid is given by :-

$\text{Area}=(1)/(2)(15)(20+25)\\\\\Rightarrow\text{Area}=337.5\text{ ft.}^2$

Hence, the area of trapezoid is
$337.5\text{ ft.}^2$