Use these formulas to help solve the problem.
Area of a Triangle; A = ½bh
Area of a Rectangle; A = lw
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The front view of a house is composed of a triangle and a rectangle.
The picture shows the front view of a house.
What is the area of the front of the house in square feet?
(1 point)
Area =
square feet
To find the area of the front of the house, we need to find the area of the triangle and the area of the rectangle separately, and then add them together.
Given dimensions:
- Base of the triangle = 10 feet
- Height of the triangle = 8 feet
- Length of the rectangle = 10 feet
- Width of the rectangle = 6 feet
Area of the triangle:
A_triangle = 1/2 * base * height
A_triangle = 1/2 * 10 * 8
A_triangle = 40 square feet
Area of the rectangle:
A_rectangle = length * width
A_rectangle = 10 * 6
A_rectangle = 60 square feet
Total area of the front of the house:
Total_area = A_triangle + A_rectangle
Total_area = 40 + 60
Total_area = 100 square feet
Therefore, the area of the front of the house is 100 square feet.