Answer:
option A. 36 square inches
Explanation:
The figure is a trapezium
Area of a trapezium=1/2 *(sum of parallel sides) *height
From the diagram, the parell sides are 6 inches and 12 inches ,and the height is 4 inches.
We substitute these values into the formula.
This implies that, the area
![= (1)/(2)(6 + 12) * 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c9n854al3b5l0zkm0p5ihiyuzt15y3kcaj.png)
![= (1)/(2)(18) * 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i46yqzpa7wsuoqz3mbuevs8snt92bw8969.png)
![=9* 4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/innn9pvc2dzxxzxjbpocs63lt5oupp2f1d.png)
![= 36](https://img.qammunity.org/2021/formulas/biology/college/51c9gi1i58v1u9vhr586nj944ppyxrjjfx.png)
Thus the area is 36 square inches