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 calculate the area of the triangle and the area of the rectangle separately, and then add them together.
Given that the base of the triangle is 10 feet and the height of the triangle is 8 feet, we can calculate the area of the triangle using the formula A = 1/2 * base * height:
Area of the triangle = 1/2 * 10 feet * 8 feet = 40 square feet
Given that the length of the rectangle is 12 feet and the width of the rectangle is 5 feet, we can calculate the area of the rectangle using the formula A = length * width:
Area of the rectangle = 12 feet * 5 feet = 60 square feet
Now, add the area of the triangle and the area of the rectangle to find the total area of the front of the house:
Total area = Area of the triangle + Area of the rectangle
Total area = 40 square feet + 60 square feet
Total area = 100 square feet
Therefore, the area of the front of the house is 100 square feet.