The difference of the area of two squares is 223 square feet and the difference of their perimeters is 24 feet. Find a side of each square.

Answer 1

Let X stand for the side of one square and Y stand for the other's side. The area is found by muliplying the two sides and the perimeter if found by adding the 4 sides of each square.

X^2-Y^2=223
4X-4Y=24

Therefore:

4X-24=4Y and dividing bothe sides by 4 gives you

X-6=Y

Substitute the X-6 for Y in the first equation and solve for X. Put that value for X in the second equation and solve for Y. Check by putting both values in the first equation.

I hope this helps. Thanks for asking.