Question 809005
Where:
L= length
W= width
x= variable
A= area

Formulas:
A= L*W
L= 2x-3
W= x

Solution:
44= (2x-3) * (x): Distribute x
{{{44= 2x^2 - 3x}}} : Notice that the equation could be factor out.
{{{ 2x^2 - 3x - 44 = 0 }}} : Factor out
= (x+4) (2x-11) : Reject the factor (x+4) because it is negative.

Therefore we will use the factor (2x-11) to get the answer:
2x-11=0
2x=11
x= 11/2
x= 5.5

Substitute the x to get the answers from our previous Formulas:
L= 2x-3
L= 2(5.5)-3
L= 8 yd


W= x
W= 5.5 yd