Answer: The last option.
Step-by-step explanation:
1. Calculate the area of the rectangle as following:
[tex]A_r=6m*8m=48m^{2}[/tex]
2. Find the base of the triangle applying the Pythagorean Theorem. Then:
[tex]b=\sqrt{(10m)^{2}-(8m)^{2}}=6m[/tex]
3. Then, the area of the right triangle is:
[tex]A_t=\frac{6m*8m}{2}=24m^{2}[/tex]
4. The area of the trapezoid is the sum of the area of the triangle and the area of the rectangle. Then:
[tex]A_{trapezoid}=24m^{2}+48m^{2}=72m^{2}[/tex]
