Question

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.

Answer 1

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.