Given:
Trapezoid with bases 10 and 20, and height of the trapezoid is 6.
To find:
The area of the trapezoid.
Solution:
We know that the area of a trapezoid is:
![A=(1)/(2)h(b_1+b_2)](https://img.qammunity.org/2022/formulas/mathematics/college/77zj4qetiw8zf29wdhsxij2ty1sck43mfl.png)
Where, h is the height of the trapezoid and
are bases of the trapezoid.
Putting
in the above formula, we get
![A=(1)/(2)(6)(10+20)](https://img.qammunity.org/2022/formulas/mathematics/college/2cixygrfwaxvpkevxn2oy1uiolnixunja9.png)
![A=3(30)](https://img.qammunity.org/2022/formulas/mathematics/college/zat7kxdkczcmlsitla4i37vhfbhm3lcpt0.png)
![A=90](https://img.qammunity.org/2022/formulas/mathematics/college/tmd2omi0wphibq9ana364bzwdsq2s5lg2c.png)
The area of the trapezoid is 90 sq units. Therefore, the correct option is A.