Use these formulas to help solve the problem.
Area of a Triangle; A = ½bh
Base: 24 ft , Height: 10 ft
Area of a Rectangle; A = lw
Length: 20 ft , Width: 24 feet.
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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
Area of the triangle = ½ * base * height
Area of the triangle = ½ * 24 ft * 10 ft
Area of the triangle = 120 square feet
Area of the rectangle = length * width
Area of the rectangle = 20 ft * 24 ft
Area of the rectangle = 480 square feet
Total area of the front of the house = Area of triangle + Area of rectangle
Total area = 120 square feet + 480 square feet
Total area = 600 square feet
Therefore, the area of the front of the house is 600 square feet.
What is the area, in square yards, of the composite shape below?
5 yd 4 yd
6 yd 3 yd
9 yd
Area of a rectangle = lw
(1 point)
Area =
yd2
The composite shape is made up of a rectangle and a triangle.
Area of the rectangle = length * width
Area of the rectangle = 9 yd * 6 yd
Area of the rectangle = 54 square yards
Area of the triangle = ½ * base * height
Area of the triangle = ½ * 4 yd * 3 yd
Area of the triangle = 6 square yards
Total area of the composite shape = Area of rectangle + Area of triangle
Total area = 54 square yards + 6 square yards
Total area = 60 square yards
Therefore, the area of the composite shape is 60 square yards.
It's not a triangle, it's a 3x4 square that's missing. Incorrect.
Apologies for the error in identifying the shape. Thank you for pointing that out.
Given the dimensions of the shape:
- A rectangle with length of 9 yards and width of 6 yards.
- A square with sides of 3 yards.
To calculate the total area of the composite shape, we need to calculate the area of the rectangle and the area of the square separately and then add them together.
Area of the rectangle = length * width
Area of the rectangle = 9 yards * 6 yards
Area of the rectangle = 54 square yards
Area of the square = side^2
Area of the square = 3 yards * 3 yards
Area of the square = 9 square yards
Total area of the composite shape = Area of rectangle + Area of square
Total area = 54 square yards + 9 square yards
Total area = 63 square yards
Therefore, the area of the composite shape is 63 square yards.
no, sorry a 3x4 rectangle. my bad.
No problem! Thank you for clarifying.
Given the dimensions of the shape:
- A rectangle with length of 9 yards and width of 6 yards.
- A rectangle with length of 3 yards and width of 4 yards.
To calculate the total area of the composite shape, we need to calculate the area of both rectangles separately and then add them together.
Area of the first rectangle = length * width
Area of the first rectangle = 9 yards * 6 yards
Area of the first rectangle = 54 square yards
Area of the second rectangle = length * width
Area of the second rectangle = 3 yards * 4 yards
Area of the second rectangle = 12 square yards
Total area of the composite shape = Area of the first rectangle + Area of the second rectangle
Total area = 54 square yards + 12 square yards
Total area = 66 square yards
Therefore, the area of the composite shape is 66 square yards.