Question

About how much greater is the perimeter of a square with area of 250 square meters than a square of 125 square meters?

Answer 1

The area of the firs square  is 250 square meters. We need to first find out from this information the length of each side this square.

 We use square root because we are dealing with a square shape whose sides are all equal in measurement.

Square root of 250 = 15.811 
Therefore each side of the square measures approximately 15.811 meters.

Now let us double check this to see if we are on the right track
we multiply 15.811 meters X 15. 811 meters = 249.98 square meters
Rounded off to the nearest 100, this will be  250 square meters, which is the area of this square. So we are on the right track

Perimeter of this square will be 4 X 15.811 = 63.244 meters

Now to find out the perimeter for the second square we simply follow the same steps.

Square root of 125 =11.180. Therefore each side of this square is 11.180 meters.
Perimeter of this square will be 4 x 11.180 = 44.72 meters.

Now let us get the difference of the two figures:
63.244 - 44.72 = 18.524 meters.

Therefore the perimeter of the first square is 18.524 meters greater than that of the second square.