SOLUTION: A man has a square garden area with a sidewalk 2 feet wide all around it. If the area of the sidewalk plus garden is 196 square feet, what are the dimensions of the garden area?

Algebra.Com
Question 54442: A man has a square garden area with a sidewalk 2 feet wide all around it. If the area of the sidewalk plus garden is 196 square feet, what are the dimensions of the garden area?
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
First notice that they said that the garden was a square. That tells us that all of the sides are equal. The area of a square is
Let the side of the garden =x
If you were to draw a square with a bigger square extended 2 feet around it, you would see that the bigger square has sides that look like this:
2ft------x-------2ft, so s=2+x+2=x+4 is the side of the bigger square.
The area of the garden and the sidewalk can be found by finding the area of the big square, they told us that was: 196
Your problem to solve is:


+ or - (We can ignore the because that would give you a - dimension.)



x was the side of the garden, so the dimensions of the garden would be:
Happy Calculating!!!

RELATED QUESTIONS

The length of a rectangular garden is 5 feet longer than the width. The garden is... (answered by malakumar_kos@yahoo.com,edjones)
The length of a rectangular garden is 5 feet longer than its width. The garden is... (answered by mathanator)
A rectangular garden is 5 ft longer than twice its width. It has a sidewalk 3 feet wide... (answered by ikleyn)
Using polynomials, could you write this out for me, with solution? Linda has a garden. (answered by gonzo)
A rectangular garden has an area of 2w to the second plus 5w. It has a sidewalk 3 feet... (answered by ankor@dixie-net.com)
The length of a garden is 5 feet longer than its width. A 2 foot wide sidewalk... (answered by mananth)
You have a rectangular garden 15ft longer than it is wide. If a 4ft sidewalk goes around... (answered by josgarithmetic)
mark is building a sidewalk three feet wide around a rectangular garden that is 60 feet... (answered by ewatrrr,josgarithmetic)
a square flowerbed is 6 feet along each edge and the square sidewalk around it is 2 feet... (answered by boilpoil)