# Square Of Rectangle

Total number of squares = m x (m+1) x (2m+1)/6 + (n-m) x m x (m+1)/2 when n is larger dimension. Using above logic for rectangle, we can also prove that number of squares in a square is n (n+1) (2n+1)/6. Below is the implementation of above formula. The area of a square can be obtained by multiplying the lengths of the two sides. Since the lengths of the sides are the same in a square, we just square the length of the side to get the area. Area of a square = s2 Area of a Rectangle. Difference Between Square and Rectangle The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube. From a mathematical perspective, a square is-a rectangle. If a mathematician modifies the square so it no longer adheres to the square contract, it changes into a rectangle. But in OO design, this is a problem. An object is what it is, and this includes behaviors as well as state.

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## Difference & Similarity between Square & Rectangle

### Square Of A Rectangle

 Area of Rectangle Perimeter of Rectangle Diagonals of Rectangle Difference & Similarity between Square & Rectangle

### Rectangle With Uneven Sides

Following points helps us to understand similarities and differences between a square and a rectangle. The highlighted part is the difference between square and rectangle.
SquareRectangle
• A square is a quadrilateral
• A rectangle is also a quadrilateral
• All angles of a Square are of 90 Degree each i.e. right angled at each vertex
• All angles of a Rectangle are also of 90 Degree each i.e. right angled at each vertex
• Opposite sides of square are parallel to each other
• Opposite sides of rectangle are also parallel to each other
• Diagonals of square are equal
• Diagonals of rectangle are also equal
• Diagonals of square bisect each other
• Diagonal of rectangle also bisect each other
• All sides of square are of equal length
• Only opposite side of rectangle are of equal length
• Diagonals of square are perpendicular bisector of each other
• Diagonals of rectangle are not perpendicular bisector of each other

• Hence, you can observe what are the similarities between a Square and Rectangle. The highlighted part is the difference between a Square and a Rectangle.