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he front of an A-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the A-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house.

User Zkwentz
by
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1 Answer

7 votes

Answer:

Equation:
600=(20b))/(2)

Base: 60 feet.

Explanation:

The formula for calculate the area of a triangle is:


A=(bh)/(2)

Where:

A: is the area of the triangle.

b: is the base of the triangle.

h: is the heigth of the triangle.

Knowing the area of the triangle and its height, you can write the equation:


600=(20b)/(2)

Where b is the base in feet of the A-frame house.

To solve it:

Multiply both sides of the equation by 2.

Divide both sides of the equation by 20.

Then:


(2)(600)=((20b)/(2))(2)\\\\1200=20b\\\\(1200)/(20)=(20b)/(20)\\\\60=b

The base of the A-frame house is 60 feet.

User Yonatan Brand
by
8.3k points

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