Question

A smaller square is located inside a larger square. the length of the smaller square is 7 cm, and the length of the square is 12cm. find the area of the section outside the small square, but inside the larger square.

Answer 1

Let S=larger square side and s=smaller square side.  The area between the larger and smaller is simple the larger area minus the smaller area.  The area of any square being s^2.  So our remaining area is:

A=S^2-s^2

A=144-49=95 cm^2