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