Answer:
x=-1±4√31/3 ft is the height
Step-by-step explanation:
let the height be x ft.
then the length would be 3x+2
area = L*H= x(3x+2)
165=3x²+2x
0= 3x²+2x -165
dividing the whole equation by 3
0=x²+2x/3-55
(x)²+2(x)(1/3) +(1/3)² -55 -(1/9)=0
(x+1/3)²- 495-1/9=0
(x+1/3)²= 496/9
taking square root on both sides
(x+1/3)= ±4√31/3
x= ±4√31/3-1/3
x=-1±4√31/3 ft is the height
