Question 847183
A = L*W

L = 2W - 3

A = (2W-3)*W

44 = 2W^2 - 3W

2W^2 - 3W - 44 = 0

((3 +-  sqrt((-3)^2 - 4*2*-44))/4 


(3 +- sqrt( 9 + 352))/4

(3 +- 19)/4

W= -16/4  and  22/4

However, W must be positive as we are talking about a measurement.

So  W =  22/4 = 5.5

Plug that back into our original  44 =  L * 5.5

44/5.5 = 8

So our dimensions are 8 x 5.5.