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.
Accepted Solution
A:
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.