i need help with a math problem on my homework

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

area = bh/2

perimeter = base + height + hypotenuse

(6(x-2))/2 = x+x-2+6

3x -6 = 2x +4

x=10

dimensions are 6 by 8 by 10 feet

6^2 + 8^2 = 10^2

36 + 64 = 100

graphically construct 3 squares, with sides 6, x and x-2

draw them on the same graph as the triangle, using the triangle sides as sides of the 3 squares

one square adjoins the triangle to the right sharing the side = 6 feet

another square adjoins the triangle below sharing the side x-2

the larges side adjoins the triangle to the upper left sharing the side x

calculate the area of each square: 6^2, x^2 and (x-2)^2

x^2 = (x-2)^2 + 36

x^2 = x^2 -4x + 4 + 36

4x =40

x = 10

x-2 = 8

sides are 6, 8 and 10