Answer:
153.5ft²
Step-by-step explanation:
You need to break it down into parts. I'm starting with the triangle at the top. We know that its height is 3ft, and part of its base is 3. Look down at the bottom, and you will see that two of the steps, the four feet and the 2 feet ones, add up to align directly with the base, so the base is 3+4+2=9. The area of a triangle is 1/2(base)(height), so 1/2(9)(3)=13.5ft². Then I'm going to do the rectangle on the far left. Length of 6ft, width of 9ft, a rectangle's area is found by (length)(width), so 6*9 = 54ft². Now all that's left is the area under the triangle, which can be split into two rectangles, one with an area 15*4 = 60ft² and the other with (15-2)*2 = 26ft². Now you add all of these up:
13.5ft²+ 54ft²+ 60ft²+ 26ft²= 153.5ft².
