Answer:
144 ft^2
Step-by-step explanation:
Here we have a trapezoid with a triangle inside.
The legs of the trapezoid are 18 ft and 8 ft, and so the average length of the trapezoid is (18 + 8)/2 ft, o 13 ft. The total area of the trapezoid is thus:
A = (13 ft)(16 ft) = 208 ft^2
Now we must find the area of the white triangle and subtract it from the area of the trapezoid already found. The area formula for a triangle i
A = (1/2)(base)(height), which in this case is A = (1/2)(8 ft)(16 ft), or
A = 64 ft^2.
Subtracting the area of the triangle from that of the trapezoid yields
Area of figure = 144 ft^2
