Question

A rectangle can be divided into n equal squares. The rectangle can also be divided into n+76 equal squares.find n

Answer 1

Let A be the area of Rectangle.

And let a be the side of n equal squares.

And b be the side of (n+76) equal squares.

Area of rectangle= n a²

Also,Area of same rectangle= (n+76)b²

→n a²=(n+76)b²

→n(a²-b²)=76 b²

→n=$\frac{76\times b^{2}}{a^{2} -b^{2}}$

So, n=$\frac{76\times{\text{ area of second square having side b}}}{{\text{Area of square having side a}} - {\text{area of square having side b}}}$