Answer:
51 m^2
Step-by-step explanation:
Draw a vertical line through the roof peak. There is a trapezoid on either side. The average height of the trapezoid is (16 m + 10 m)/2 = 13 m. The width of one trapezoid is 2.5 m. Thus, the area of one trapezoid is
(13 m)(2.5 m) = 32.5 m^2.
There are two such trapezoids, so the combined area is 2(32.5 m^2), or 65 m^2.
Now find the area of the open door: It is (7 m)(2 m) = 14 m^2.
Subtracting this door area from the overall area:
65 m^2 - 14 m^2 = 51 m^2
