Question 949571
W=width; L=length=2W-3 ft; A=L*W=27 sq ft
A=L*W Substitute for L
27 sq ft=(2W-3)(W)
{{{27 sq ft=2W^2-3W}}} Subtract 27 from each side
{{{0=2W^2-3W-27}}}*[invoke quadratic "W", 2, -3, -27 ]
ANSWER 1: W=4.5 ft  The width is 4.5 feet.
L=2W-3 ft=2(4.5)-3 ft=9 feet-3 feet=6 feet ANSWER 2: The length is 6 feet.
CHECK:
A=L*W
27 sq ft=(6 ft)(4.5 ft)
27 sq ft=27 sq ft