Answer:
875 ft²
Step-by-step explanation:
Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.
The area of a rectangle is A = lw, where l is the length and w is the width.
For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:
A = lw = 15 * 30 = 450 ft²
For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:
A = lw = 10 * 30 = 300 ft²
The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.
Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:
A = (b1 + b2) * h/2
A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²
Finally, add all these disparate areas together:
450 + 300 + 125 = 875 ft²
