Use these formulas to help solve the problem.
Area of a Triangle; A = ½bh
Area of a Rectangle; A = lw
The front view of a house is composed of a triangle and a rectangle.
The picture shows the front view of a house.
the width of the rectangle/square is 24 feet and the length of the rectangle/square is 20 feet. The height of the rectangle on top of the rectangle/square is 10 feet. I need to know what the area of the front of the house is in square feet. Please make sure your answer is correct and all steps are correct
What is the area of the front of the house in square feet?
(1 point)
Area = square feet
First, let's calculate the area of the rectangle at the bottom of the house:
Area = length x width
Area = 20 feet x 24 feet
Area = 480 square feet
Next, let's calculate the area of the triangle on top of the rectangle:
Area = 1/2 x base x height
Base of the triangle = 24 feet (same as the width of the rectangle)
Height of the triangle = 10 feet
Area = 1/2 x 24 feet x 10 feet
Area = 120 square feet
Now, add the areas of the rectangle and the triangle to get the total area of the front of the house:
Total Area = 480 square feet + 120 square feet
Total Area = 600 square feet
Therefore, the area of the front of the house in square feet is 600 square feet.
What is the area, in square yards, of the composite shape below?
the square on top of the rectangle is 5yd on the top and on the side is 6yd. The rectangle on the bottom is 9yd on its base and 3yd on its side. I need to know the *TOTAL* area of the composite shape. Please make sure your answer is correct and the steps of your problems are correct also
Area of a rectangle = L times W
First, let's calculate the area of the square on top of the rectangle:
Area of a square = side x side
Area of the square = 6 yards x 6 yards
Area of the square = 36 square yards
Next, let's calculate the area of the rectangle at the bottom:
Area of a rectangle = length x width
Area of the rectangle = 9 yards x 3 yards
Area of the rectangle = 27 square yards
Now, add the areas of the square and the rectangle to get the total area of the composite shape:
Total Area = 36 square yards (area of the square) + 27 square yards (area of the rectangle)
Total Area = 63 square yards
Therefore, the total area of the composite shape in square yards is 63 square yards.
that answer doesn't seem correct
I apologize for the mistake. Let's correct the calculation.
First, let's calculate the area of the square on top of the rectangle:
Area of the square = side x side
Area of the square = 5 yards x 5 yards
Area of the square = 25 square yards
Next, let's calculate the area of the rectangle at the bottom:
Area of the rectangle = length x width
Area of the rectangle = 9 yards x 3 yards
Area of the rectangle = 27 square yards
Now, add the areas of the square and the rectangle to get the total area of the composite shape:
Total Area = 25 square yards (area of the square) + 27 square yards (area of the rectangle)
Total Area = 52 square yards
Therefore, the total area of the composite shape in square yards is 52 square yards.