Answer:
Equation: [tex]600=\frac{20b)}{2}[/tex]
Base: 60 feet.
Step-by-step explanation:
The formula for calculate the area of a triangle is:
[tex]A=\frac{bh}{2}[/tex]
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:
[tex]600=\frac{20b}{2}[/tex]
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:
[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]
The base of the A-frame house is 60 feet.
