SOLUTION: Find x if shaded area of a rectangle is 90(the whole rectangle is shaded except for the 3 holes). By developing and solving by factoring quadratic equation. The rectangle width is

Question 200644: Find x if shaded area of a rectangle is 90(the whole rectangle is shaded except for the 3 holes). By developing and solving by factoring quadratic equation. The rectangle width is 2x-2, length is 3x, and there are 3 holes cut out with the width of x and length of x-1.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
I don't have a diagram of this situation but we can muddle through without one.
First, the big rectangle has an area of:

now we'll subtract the area of the three () rectangular holes whose total area is:
to get:

and this, the problem tells us is 90, so...
Subtract 90 from both sides.
Factor out a 3 to facilitate the calculation.
which means that...
Factor this quadratic equation.
so...
or Discard the negative solution as the length, x, can only be positive.
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