Answer:
The base is 8 ft and the height is 6 ft.
Step-by-step explanation:
If the height of the triangle is x feet its base = 2x - 4 feet.
So the area of the triangle
= 1/2 * base * height
= 1/2 * (2x - 4) * x = 24
(x - 2) * x = 24
x^2 - 2x - 24 = 0
(x - 6)(x + 4) = 0
x = 6, -4 As x is the height it must be 6 feet.
The base = 2x - 4 = 2(6) - 4 = 8 feet.
x = 24
1.) put the equations together and equal them to 180
2x + 4 + 6x - 16 = 180
2.) combine like terms
8x - 12 = 180
3.) divide both sides by 8
8x = 192
4.) simplify
