SOLUTION: Dear Tutors, The question asks: The area of a rectangular playground is 2,700 ft2. The length is 3 times the width. What are the dimensions of the play ground? Please hel

Question 120072: Dear Tutors,
The question asks:

The area of a rectangular playground is 2,700 ft2. The length is 3 times the width. What are the dimensions of the play ground? Please help!!!THANKS
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First we know that the area of a rectangle is given by , so we can write:

But we also know that the length, , is three times the width , so we can write:

Now we can change the first equation to read:

, or

Divide both sides by 3

Take the square root of both sides:

or . However, since we are looking for a measure of length, we can exclude the result.

Since we know that , we now know that .

So the dimensions of the playground are 90 feet by 30 feet.

Check:
and : Checks!

Hope that helps.
John

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