Answer:
260 in²
Step-by-step explanation:
The area of the trapezoid can be calculated using the formula:
![A=((b_1+b_2))/(2)h](https://img.qammunity.org/2023/formulas/mathematics/college/ffv9aj7ive1uoywcaisuos8etiy4wes7nz.png)
Where b1 and b2 are the lengths of the bases of the trapezoid and h is the height.
So, replacing b1 by 24 in, b2 by 16 in, and h by 13 in, we get that the area is equal to:
![\begin{gathered} A=\frac{(24\text{ in + 16 in)}}{2}\cdot13\text{ in} \\ A=\frac{40\text{ in}}{2}\cdot13\text{ in} \\ A=20\text{ in }\cdot\text{ 13 in} \\ A=260in^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wcbm4bxq9xb1fxzbqxhadqf18on06oj4hg.png)
Therefore, the area is 260 in²