Sam created a porch that was part wooden and part concrete, as shown in the figure below.
Note: Figure not drawn to scale
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.
(2 points)
Responses
186 ft2
186 ft 2
1,260 ft2
1,260 ft 2
102 ft2
102 ft 2
1,116 ft2
To find the total area of the porch, we first need to calculate the area of each section separately.
The area of the wooden part (right triangle) can be calculated using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 24 * 18
Area = 216 ft^2
The area of the concrete part (square) can be calculated by squaring the side length:
Area = c^2
Area = 30^2
Area = 900 ft^2
Now, to find the total area of the porch, we add the areas of the wooden part and the concrete part:
Total area = 216 ft^2 + 900 ft^2
Total area = 1,116 ft^2
Therefore, the total area of the porch is 1,116 ft^2. The correct answer is:
1,116 ft^2.