This is very hard to explain in text and not on paper, but I will try to explain it the best I can.
So first get the length of the bottom of the triangle, so that would be 36in. Minus 21in. Which will give us the length of the bottom of the shaded region.
36-21= 15 in.
This next step isn’t necessary, but it makes solving for the area so much easier. Make the shaded region into two different shapes. So in this case, a square and then a right triangle.
So take the height on both sides on the shaded region, which would be..
24 - 14 = 10in.
Now, multiply the length by the height to solve for the area of the square and triangle.
Triangle area: 15(10)= 150 sq. in.
Square area: 15(14)= 210
Now add them together and then you get your answer.
