1. You have that:
- The trapezoids are similar.
- The larger base of the smaller trapezoid is 18 m and its area is 310 m².
- The larger base of the larger trapezoid is 32 m.
2. Then:
Sides=18/32
Sides=9/16
Area=(9/16)²
Area=81/256
3. Now, you can find the area of the larger trapezoid, as below:
81/256=310/x
81x=(310)(256)
x=79360/81
x=980 m²
Therefore, the answer is: The area of the larger trapezoid is 980 m².