Question 187794: The length of a rectangular garden is 3 meters less than twice the width. Three times the width of the garden equals two time the length. Find the width and the length of the garden.
Answer by mgmoeab(37)   (Show Source):
You can put this solution on YOUR website! The length of a rectangular garden is 3 meters less than twice the width. . Find the width and the length of the garden.
length(L);
width (W);
***You are told that:
The length of a rectangular garden is 3 meters less than twice the width
In math terms this means
L = 2W -3
***Also:
That three times the width of the garden equals two time the length
3W = 2L
**You are asked to find the length and the width:
The easiest way to solve this is to put everything together in terms of jusy one variable.
if you pick:
3W = 2L ---> Substitute L by 2W -3
3W = 2 (2W-3)---> You have an equation in terms of one variable, in this case, the width.
if you solve for the variable:
3W= 4W-6
-W = -6
W = 6
Now, you know what the width is, the last thing you have to do is to plug it back in the first equation to find the length.
L = 2W - 3
L = 2(6) - 3
L = 12 - 3
L = 9
So, you found that the length is 9 units and the width is 6 units.
hope it helps~!
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