Use these formulas to help solve the problem.

Question

​ 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.

The square of the house has a width of 24 feet and a length of 20feet the triangle has a hight of 10 feet.

What is the area of the front of the house in square feet?



Type in your final answer (number only) in the box below.

(1 point)
Area =
square feet
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Answer 1

To find the total area of the front of the house, we need to calculate the area of both the rectangle and the triangle and then sum them.

1. Area of the Rectangle:

   • Width (w) = 24 feet
   • Length (l) = 20 feet
   • Area of Rectangle (A_rect) = l × w = 20 × 24 = 480 square feet

2. Area of the Triangle:

   • Base (b) = Width of the rectangle = 24 feet
   • Height (h) = 10 feet
   • Area of Triangle (A_tri) = ½ × b × h = ½ × 24 × 10 = 120 square feet

3. Total Area:

   • Total Area (A_total) = A_rect + A_tri = 480 + 120 = 600 square feet

So, the area of the front of the house is:

600 square feet.