Question

The value of the perimeter of the triangle in feet is equal to the value of the area of the triangle in square feet use a graph to find X

Answer 1

`\stackrel{\textit{value of the perimeter in feet}}{(x)+(x-2)+(6)}~~ = ~~\stackrel{\textit{value of the area in }ft^2}{\cfrac{1}{2}\underset{base}{(x-2)}\underset{height}{6}} \\\\\\ 2x+4=3x-6\implies 4=x-6\implies 10=x`

Answer 2

10

Explanation:

We can set up an equation using the information given to us:

x+x-2+6=
`(1)/(2)*(x-2)*6`

Simplify both sides

2x+4=3(x-2)

Distribute the 3 on the right side

2x+4=3(x)-3(2)

2x+4=3x-6

Move like terms to one side

x=10