Difference Between Square and Rectangle

A square is a shape with four sides that are all the same length and four angles that are all right angles. On the other hand, a rectangle also has four sides and four right angles, but its sides can be different lengths. Essentially, a square is a special kind of rectangle where all the sides are equal. The main difference is that in a square, all sides are of equal length, whereas in a rectangle, two sides are longer (called the 'length') and the other two sides are shorter (called the 'width').

Defination of Square

A square is a flat shape with four equal sides and four equal angles, each measuring 90 degrees. All sides of a square are the same length. It's a common shape in design and building because of its uniformity. In math, squares are used for different calculations and designs.

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Shape of Square

A square is a flat shape that has four straight sides of the same length, making four angles that are all 90 degrees. It looks like a box because all its sides are equal in length and all its angles are the same size.

Properties of a Square:

A square has these characteristics:

• All four sides are the same length.
• Each internal angle measures 90 degrees, making all angles equal.
• It has four right angles (angles of 90 degrees each).
• It is both a regular polygon (all sides and angles are equal) and a rectangle (opposite sides are equal and parallel).
• The perimeter, which is the total length around the square, can be found by multiplying the length of one side (denoted as "s") by 4. So, perimeter = 4s.
• The area, which is the space inside the square, can be found by squaring the length of one side (denoted as "s"). So, area = s².

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Area of a Square:

To find the area (space inside) of a square, you use this formula:

A = s²

Where A is the area, and s is the length of one side. For example, if one side of a square measures 4 units, the area would be 4² = 16 square units.

Perimeter of a Square:

To find the perimeter (total length around) of a square, use this formula:

P = 4s

Where P is the perimeter, and s is the length of one side. This formula gives you the total length of all four sides by multiplying the length of one side by 4.

Defination of Rectangle

A rectangle is a flat shape with four straight sides and four right angles (90 degrees). Opposite sides of a rectangle are the same length. One pair of sides is longer than the other pair. We call the longer sides the 'length' and the shorter sides the 'width.' Rectangles are widely used in building and design because they create strong and practical foundations for many things. In math, rectangles are important for solving problems and doing calculations.

Shape of a Rectangle

A rectangle is a flat shape with four sides. Its opposite sides are always the same length, and all its angles are right angles (like corners of a square). The longer sides are called the 'length,' and the shorter sides are called the 'width.' Rectangles are very basic shapes and are used a lot in building, design, and math.

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Properties of a Rectangle

A rectangle has:

• Opposite sides that are the same length.
• All angles are right angles (90 degrees).
• Four right angles.
• It belongs to the family of parallelograms.
• The perimeter is found by adding twice the length and twice the width: P=2(L+W)P = 2(L + W)P=2(L+W), where LLL is the length and WWW is the width.
• The area is found by multiplying the length and the width: A=L×WA = L \times WA=L×W, where AAA is the area.

Area of a Rectangle

To find the area of a rectangle:

• Use the formula A=L×WA = L \times WA=L×W.
• Here, AAA represents the area, LLL stands for length, and WWW stands for width.
• Multiply the length and width to find out how many square units fit inside the rectangle.

Perimeter of a Rectangle

To find the perimeter of a rectangle:

• Use the formula P=2(L+W)P = 2(L + W)P=2(L+W).
• Here, PPP represents the perimeter, LLL is the length, and WWW is the width.
• Add up all four sides (two lengths and two widths) and then double the result to get the total perimeter around the rectangle.

Differences between a Square and a Rectangle

The main difference between a square and a rectangle is the length of their sides. In a square, all sides are equal in length, while in a rectangle, two sides are longer (called the "length") and two sides are shorter (called the "width"). Additionally, all angles in a square are equal (90 degrees), while in a rectangle, the angles are also equal (90 degrees). The Squares are a type of rectangle, but not all rectangles are squares.