Difference Between Square and Rectangle

The square and rectangle are both members of the Quadrilateral family of four-sided polygons. They have some similarities as well as differences. They both have 90° angles with all angles being equal. In addition, the diagonals are equal.

This article will explain the fundamental difference between squares and rectangles. We’ll also consider the question, “Is a square a rectangle?” Along with learning the differences between square and rectangle, we will also discover the similarities between these two geometrical figures.

Difference Between Square and Rectangle

1. All sides are of equal length in the Square while Only the opposite sides are equal in the rectangle
   
2. Diagonals of a square are perpendicular bisectors of each other while Diagonals of a rectangle are not perpendicular bisectors of each other
   
3. Diagonals bisect the angles in the square while it does not bisect in a rectangle
   
   For rectangle : $\angle OAB \ne \angle OAD$
   For square : $\angle OPQ = \angle OPS$
4. The perimeter of the Square is given by
   $P =4a$
   The perimeter of the Rectangle is given by
   $P =2(L +B) $
5. The area of the Square is given by
   $P =a^2$
   The area of the Rectangle is given by
   $P =2(L +B) $

Similarities between them

Let us look at the similarities between a square and a rectangle

• All four sides of both square and rectangle are straight.
• Their opposite sides are exactly the same length.
• Their interior angles add up to 360 degrees.
• Their interior angles are all 90 degrees.
• The area of both square and a rectangle is equal to the product of a pair of adjacent sides.

Is a square a rectangle?

A square is a rectangle, so the answer is yes. A square is a rectangle because it has all of the characteristics of a rectangle.

These characteristics are:

• Each interior angle is 90 degrees.
• Parallel and equal sides on opposite sides
• Two equal diagonals that bisect each other.