Question

The area of a square quilt is 196 square inches. There is a smaller square patch on the quilt with an area of 49 square inches. What is the difference between the overall perimeter of the quilt and the perimeter of the smaller square patch?

Answer 1

To find your answer you would find the perimeter of the small square which is 28.

You would then find the perimeter of the big square which is 56. 

Next, you subtract 56 from 28 and get 28.  

So the difference is 28 inches.

Hope this helps!!

Answer 2

First find the length of one side of the quilt and patch. In this case you just need to calculate square roots of 196 and 49. 
So the length of one side of the quilt is: √196=14.
The length of one side of the patch is: √49=7.
Last step is to find the difference of perimeter of quilt and the patch: 14×4-7×4=28.
So, here we go, your final answer for this problem should be 28!