SOLUTION: A children’s park has an area of 84 square meters and a perimeter of 38 meters. What are its length and width?

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Question 1187408: A children’s park has an area of 84 square meters and a perimeter of 38 meters. What are its length and width?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangle shape or what?

If w for width and L for length then
system%28wL=84%2Cw%2BL=19%29
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Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

The sum of the adjacent sides is  x + y = 38/2 = 19 m.


The product of the sides is 84 square meters (the area).


So, your equation is


    x*(19-x) = 84.


Write it in the standard form of a quadratic equation and solve using the quadratic formula or factoring.


The ANSWER is: the dimensions of the park are 7 meters by 12 meters.

Solved.