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

Question

asked Oct 2, 2020 154k views

2 Answers

Prakash Boda · Answer 1 · 2020-10-08T19:58:19+0000

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)