we have that
The area of rectangle is equal to
A=LW
we know that
A=44 m^2
L=2W-3
substitute the given values
44=(2W-3)W
44=2W^2-3W
Rewrite
2W^2-3W-44=0
using a graphing tool
see the attached figure
please wait a minute
the solution is W=5.5 m
Find the value of L
L=2W-3
L=2(5.5)-3
L=8 m
therefore
the dimensions of rectangle are
8 m by 5.5 m
