The length of a rectangle is five less than three times its width. Find the dimensions of the rectangle if its area is 782.

I get 18.84
x(3x-5)=782.
The book says 17 m by 46 m

1 answer

L = (3w-5)
L w = 782

(3w-5)w = 782

3 w^2 -5 w -782 = 0

(3w+46)(x-17) =0
x = 17 or x = -46/3
use x = 17
then L = 782/17 = 46