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
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To find the area of the front view 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:
Base of the triangle (b) = 20 feet
Height of the triangle (h) = 10 feet
Length of the rectangle (l) = 30 feet
Width of the rectangle (w) = 10 feet
Area of the triangle:
A = 1/2 * base * height
A = 1/2 * 20 * 10
A = 100 square feet
Area of the rectangle:
A = length * width
A = 30 * 10
A = 300 square feet
Total area of the front of the house:
Total area = Area of the triangle + Area of the rectangle
Total area = 100 + 300
Total area = 400 square feet
So, the area of the front of the house is 400 square feet.