Answer:
264 cm^2
Step-by-step explanation:
Area of a trapezoid = 1/2 (b1+b2) *h
The area of the large trapezoid
b1 = 14 b2 = 25 h = 10+12 = 22
A = 1/2 (14+25) *22 = 429 cm^2
The area of the unshaded trapezoid
b1 = 8 b2 = 25 h = 10
A = 1/2 (8+25) *10 = 165 cm^2
To find the area of the shaded region, take the area of the large trapezoid and subtract the unshaded trapezoid
429 - 165 =264 cm^2
