SOLUTION: the length of a rectangle is 6 cm less than twice its width. find the dimintions of the rectangle if its area is 108 cm2

Question 553041: the length of a rectangle is 6 cm less than twice its width. find the dimintions of the rectangle if its area is 108 cm2
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
the length of a rectangle is 6 cm less than twice its width can be written as:

And using the area formula of a rectangle we know that
l*w=108
Using subsitution we can plug in (2*w-6) for the length

Distribute

Divide both sides by 2

subtract 54 from both sides

factor
(w-9)(w+6)=0
w=9 or -6
Discard the negative number because negatives don't exist with distances
w=9
Now that we know w we can find l
l=2*w-6
Sub in 9 for w
l=2*9-6
l=18-6
l=12

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