Answer: 132 square units
Explanation:
Area of a trapezoid:
a = top base; b = bottom base; h = height
![A=(a+b)/(2)+h](https://img.qammunity.org/2023/formulas/mathematics/high-school/lzvt22vc0j842ie23zc6oclmrpd7qsu2ft.png)
Find the bases and the height:
b: 21 (given)
h: 8 (given)
a: find from the bottom
need to find the only not given value by subtracting the values we know. (this might be a little confusing but I think it'll be easier if you look at the original picture)
21 - 9 - 3 = 9
add the new number with the given length of the top base
9 + 3 = 12
Substitute the values into the equation:
![A=(a+b)/(2)+h\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/2u1vmprvxm35r2vx03n5vcj2enaor13rrv.png)
![A=(12+21)/(2)+8](https://img.qammunity.org/2023/formulas/mathematics/high-school/12xxvbdo7n7cetx3y34yoyg9lbxekwlrxd.png)
(I used a calculator to find it out)
Area = 132 square units