Question

Find the area of the trapezoid
Answer options: 56, 90, 60, 72.

Answer 1

D

Explanation:

Answer 2

Answer: The last option.

Explanation:

1. Calculate the area of the rectangle as following:

`A_r=6m*8m=48m^(2)`

2. Find the base of the triangle applying the Pythagorean Theorem. Then:

`b=\sqrt{(10m)^(2)-(8m)^(2)}=6m`

3. Then, the area of the right triangle is:

`A_t=(6m*8m)/(2)=24m^(2)`

4. The area of the trapezoid is the sum of the area of the triangle and the area of the rectangle. Then:

`A_(trapezoid)=24m^(2)+48m^(2)=72m^(2)`