A rectangular garden has an area of 24 square meters. The width is 8 meters less than twice the length. Find the dimensions of the garden.

Question

shamil98 · Answer

l(w) = 24
w = 2L - 8
L(2L - 8) = 24
2L^2 - 8L - 24 = 0

L^2 - 4L - 12 = 0
(L - 6)(L - 2) = 0
L = 6 , L = 2

6w = 24
w = 4
or
2w = 24
w = 12

shamil98 · Answer

Oh, oops i made a factoring mistake
it's 
(L - 6)(L+2) = 0
 L = 6 , L = -2
you can't have a negative length..
so 
its just L = 6
plugging it in  
6w = 24
w = 4.
L = 6, W = 4