SOLUTION: A gardener has enough material to build 200 feet of fencing. He also has enough seed to plant 1568 square feet of flowers. If he plans to fence in a rectangular area in his prope

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Question 1068180: A gardener has enough material to build 200 feet
of fencing. He also has enough seed to plant 1568 square feet of
flowers. If he plans to fence in a rectangular area in his property
and completely fill it with his remaining flower seeds, what are the
dimensions of the fenced in area that he should create?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the dimensions be +a+ and +b+
(1) +x%2Ay+=+1568+
(2) +2x+%2B+2y+=+200+
--------------------------
(2) +x+%2B+y+=+100+
(2) +y+=+100+-+x+
------------------------
(1) +x%2A%28+100+-+x+%29+=+1568+
(1) +-x%5E2+%2B+100x+-+1568+=+0+
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+-1+
+b+=+100+
+c+=+-1568+
solve for +x+