SOLUTION: the length of a rectangular garden is one meter less than twice its width. if the area of the garden is 45m^2, then what are its length and width?

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Question 1061514: the length of a rectangular garden is one meter less than twice its width. if the area of the garden is 45m^2, then what are its length and width?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+L+=+2W+-+1+
+A+=+L%2AW+
+45+=+L%2AW+
+45+=+%28+2W+-+1+%29%2AW+
+45+=+2W%5E2+-+W+
+2W%5E2+-+W+-+45+=+0+
I can use the quadratic formula:
+W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+2+
+b+=+-1+
+c+=+-45+
+W+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A2%2A%28-45%29+%29%29%2F%282%2A2%29+
+W+=+%28+1+%2B-+sqrt%28+1+%2B+360+%29%29%2F4+
+W+=+%28+1+%2B+19+%29+%2F+4+
+W+=+20%2F4+
+W+=+5+ ( can't use the negative square root )
and
+L+=+2W+-+1+
+L+=+2%2A5+-+1+
+L+=+9+
The length is 9
The width is 5