Question

The length of a rectangular mural is 2 ft more than three times the height. The area is 165 ft^2. Find the height of the mural.

Answer 1

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