SOLUTION: A gardener has 37 ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. Use this information to answer the following. ​(c

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Question 1137341: A gardener has 37 ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it.
Use this information to answer the following.

​(c)  If the length and width of the garden are to be the​ same, what would be the dimensions of the​ garden in feet?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the fence encloses the garden + border exactly, then
+%28+x+%2B+4+%29%5E2+=+%28+37%2F4+%29%5E2+
Take the square root of both sides
+x+%2B+4+=+37%2F4+
+x+=+9.25+-+4+
+x+=+5.25+
and
+x+%2B+4+=+9.25+
The dimensions of the garden are 5.25' x 5.25'
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check:
+%28+x+%2B+4+%29%5E2+=+%28+37%2F4+%29%5E2+
+9.25%5E2+=+9.25%5E2+
OK