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 need to calculate the area of the wooden part and the area of the concrete part and then add them together.
The wooden part is a right triangle, so its area is calculated using the formula: 0.5 * base * height
Area of wooden part = 0.5 * 18 ft * 24 ft = 216 ft²
The concrete part is a square, so its area is calculated using the formula: side * side
Area of concrete part = 30 ft * 30 ft = 900 ft²
Total area of the porch = Area of wooden part + Area of concrete part
Total area = 216 ft² + 900 ft² = 1,116 ft²
Therefore, the total area of the porch is 1,116 ft². The correct answer is:
1,116 ft²