If a = 18 ft, b = 24 ft, and c = 30 ft, what is the total area of the porch? Assume that the wooden part is a right triangle and the concrete part is a square>

1 answer

First, we need to calculate the area of the wooden part, which is a right triangle.

The area of a triangle can be calculated using the formula:
Area = 1/2 * base * height

In this case, the base and height of the triangle are a = 18 ft and b = 24 ft, so the area of the wooden part is:
Area_wooden = 1/2 * 18 * 24 = 216 square feet

Next, we need to calculate the area of the concrete part, which is a square.

The area of a square can be calculated using the formula:
Area = side^2

In this case, the side of the square is c = 30 ft, so the area of the concrete part is:
Area_concrete = 30^2 = 900 square feet

Finally, we can calculate the total area of the porch by adding the area of the wooden part and the area of the concrete part:
Total area = Area_wooden + Area_concrete
Total area = 216 + 900 = 1116 square feet

Therefore, the total area of the porch is 1116 square feet.