SOLUTION: A rectangle playground with an area of 900 square feet has a width that is 1/4 of its length. Write and solve an equation USING SQUARE ROOTS to find the dimensions of the pl

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Question 966210: A rectangle playground with an area of 900 square feet has a width that is 1/4 of its length.
Write and solve an equation USING SQUARE ROOTS to find the dimensions of the playground.

Length _______ Width _______
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
= width of the playground in feet.
= length of the playground in feet.
= area of the playground in square feet.
The problem states that the width is 1/4 of the length,
which in formula is .
Since I do not like denominators, I change that into an equivalent equation:
---> .
Then, substituting into , we get
---> ---> ---> ---> ---> .
(The other solution for the equation would be , but we are looking for a length, which is a positive number, so is not a solution to the problem).
Then, substituting the value found into , we get
---> .
, .
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