# The Difference Between Square and Rectangle in Geometry

## What is Square Geometry?

Square geometry is a type of two-dimensional shape that has four equal sides and four right angles. All of the sides are equal in length and the angles measure 90º. The opposite sides of a square are parallel and the opposite angles are equal. The area of a square is calculated by multiplying the length of one side by itself.

The diagonals of a square are equal in length and they bisect each other at right angles. The diagonals also divide the square into four congruent triangles. All of the sides of a square meet at one point, which is known as the center or vertex.

## What is Rectangle Geometry?

Rectangle geometry is a type of two-dimensional shape that has four sides and four angles. The angles of a rectangle measure 90º. The opposite sides of a rectangle are parallel and the opposite angles are equal. The area of a rectangle is calculated by multiplying the length of one side by the width of the other.

The diagonals of a rectangle are not equal in length and they do not bisect each other at right angles. The diagonals of a rectangle also divide the shape into four congruent triangles. All of the sides of a rectangle meet at two points, which are known as the vertices.

## How Are Square and Rectangle Geometry Different?

The main difference between square and rectangle geometry is that the sides of a square are equal in length while the sides of a rectangle are not. Additionally, the diagonals of a square are equal in length and bisect each other at right angles, while the diagonals of a rectangle are not equal in length and do not bisect each other at right angles.

The area of a square is calculated by multiplying the length of one side by itself, while the area of a rectangle is calculated by multiplying the length of one side by the width of the other. Lastly, all of the sides of a square meet at one point, while all of the sides of a rectangle meet at two points.

## Practice Problems

1. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?

Answer: The area of the rectangle is 50 cm^{2}.

2. What is the area of a square with sides that measure 6 cm?

Answer: The area of the square is 36 cm^{2}.

3. What type of shape has four equal sides and four right angles?

Answer: A square.

4. What type of shape has four sides and four angles, but the opposite sides are not equal in length?

Answer: A rectangle.

5. What is the length of the diagonals of a square with sides that measure 5 cm?

Answer: The length of the diagonals of the square is 7.07 cm.

## Conclusion

Square and rectangle geometry have many similarities and differences. Both shapes have four sides and four angles, but the sides of a square are equal in length while the sides of a rectangle are not. The area of a square is calculated by multiplying the length of one side by itself, while the area of a rectangle is calculated by multiplying the length of one side by the width of the other. Lastly, the diagonals of a square are equal in length and bisect each other at right angles, while the diagonals of a rectangle are not equal in length and do not bisect each other at right angles.

## FAQ

### What is the difference between a square and a rectangle?

The main difference between a square and a rectangle is that a square has all sides of equal length, whereas a rectangle has two pairs of sides with different lengths. A square also has equal angles of 90 degrees, while a rectangle has angles that can vary.

### What shape has four equal sides?

A shape with four equal sides is a square.