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

Answer:

Equation: $600=\frac{20b)}{2}$

Base: 60 feet.

Step-by-step explanation:

The formula for calculate the area of a triangle is:

$A=\frac{bh}{2}$

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:

$600=\frac{20b}{2}$

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:

$(2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b$

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