Question

Can someone please show me the steps on how I got 100ft

Answer 1

Check the picture below.

so we have two rectangles and one triangle, as you see there.

now, the large rectangle is just a 10x8, so that's 80 ft².

the small rectangle is just a 4x4, so that's 16 ft².

the small triangle, notice, it has a right-angle, thus it has a height of 4, and a base of 2.

recall A = (1/2)bh, so the area of the triangle is (1/2)(2)(4) = 4 ft².

80 + 16 + 4 = 100 ft².

Answer 2

First let's find the area of that big rectangle. We know the width is 8 and the height is 10. 8×10=80. Now if you take away that rectangle, there will only be a square and a triangle. We know that the width of the square is 4. In order to find the height, we would do 10-6, which equals 4. We specifically do this because the height of the rectangle is 10, and the height of the square is 10-the height of that extra part that is 6 ft. So to find the area of the square, we would do 4×4, which equals 16. Now the triangle. The height is the same height as the square, so 4. The base is 14-(8+4) because we take away the 2 extra places, which is 8 and 4. 8+4=12 and 14-12=2. So to find the area of the triangle, we would do (base×height)/2, which is (2×4)/2=8/2=4. So now we add them all. 80+4=84 and 84+16=100