SOLUTION: A 1200 square foot rectangular garden is enclosed with 150 feet of fencing. Find the dimensions of the garden to the nearest tenth of a foot.

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Question 1113519: A 1200 square foot rectangular garden is enclosed with 150 feet of fencing. Find the dimensions of the garden to the nearest tenth of a foot.
Found 3 solutions by ikleyn, greenestamps, josgarithmetic:
Answer by ikleyn(52780) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


xy=1200 the area (length times width) is 1200
2x%2B2y+=+150 the perimeter (twice length plus twice width) is 150

x%2By+=+75
y+=+75-x
x%2875-x%29+=+1200
75x-x%5E2+=+1200
x%5E2-75x%2B1200+=+0

Solve the equation using the quadratic formula. Because both equations are symmetric in the two variables, the two solutions to the quadratic equation will be the length and width of the rectangle.

Answers: 51.9 and 23.1

Answer by josgarithmetic(39617) About Me  (Show Source):