SOLUTION: A rectangular building is 2 meters longer than twice the width. The area of ground floor is 60 meters squared. Find the length and the width of the building.

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Question 885186: A rectangular building is 2 meters longer than twice the width. The area of ground floor is 60 meters squared. Find the length and the width of the building.
Answer by basketball1127(19) About Me  (Show Source):
You can put this solution on YOUR website!
let x = length of building
y = width of building
x = 2y + 2
xy = 60
Substituting,
(2y + 2)(y)= 60
2y^2 + 2y = 60
y^2 + y = 30
y^2 + y - 30 = 0
(y + 6)(y - 5)=0
y = -6 | y = 5
Since lengths can only be positive, then y = -6 cannot be a possible answer
So y = 5m
xy=60
x(5)=60
x=12m
length = 12m
width = 5m