SOLUTION: The width of a rectangle is 2 less than half the length, and the area is 30. What is the perimeter of the rectangle?

Question 737310: The width of a rectangle is 2 less than half the length, and the area is 30. What is the perimeter of the rectangle?
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
let the length=2x
then width=2x/2-2=x-2
area=2x(x-2)=30
or x^2-2x=30/2=15
or x^2-2x-15=0
or x^2-5x+3x-15=0
or x(x-5)+3(x-5)=0
or (x-5)(x+3)=0
or x=5 or -3(rejected for -ve)
so length=2*5=10 & width=5-2=3
so the perimeter=2(l+w)=2(10+3)=26 ans
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