A square has an area of 25 cm. If it's perimeter increases by 4 cm, what is its area

A = s^2 and P = 4s.

So if A = 25, then s^2 = 25 so s = 5. Then 4*s = 4*5 = 20

The perimeter of a square with an area of 25cm^2 is 20cm.

Increase the perimeter by 4 to get 24cm. Then 4s = 24 implies s = 6. Then s^2 = A = 6^2 = 36.

Now the area is 36 cm^2