Rectangle

Rectangle has four sides and all internal angles equal to 90 degrees. Each corner, or vertex, has two sides that meet at right angles. The rectangle’s opposite sides are equal in length, making it distinct from a square.

• All angles in a rectangle are equal, so we call it an equiangular quadrilateral.
•  We can also refer to it as a parallelogram because it has parallel sides. A parallelogram is a quadrilateral where the opposite sides are equal or parallel.

Properties of Rectangle

The properties of a rectangle or a four-sided figure make it easy to identify the figure from a glance. A rectangle can be described as a two-dimensional figure having four sides and four vertices. It also has four angles. The opposite sides of a rectangle have equal lengths and are parallel. Therefore, the angle formed from its adjacent sides is 90deg. Real-life examples include paintings, kites, slabs, storage containers, etc.

• A rectangle is a quadrilateral having four equal interior angles.
• The opposite sides are equal and parallel.
• 90deg is the interior angle of a rectangle at each vertex.
• 360deg is the total of all interior angles within a rectangle.
• The diagonals intersect each other.
• The diagonals have equal length.
• Pythagoras’ theory can be used to calculate the length of the diagonals. The diagonal length with sides a or b is (a^2 + b^2).
• A parallelogram is also known because the sides and ends are always parallel.
• All rectangles can be considered parallelograms, but they are not all rectangles.

Geometric Shapes of Four-sided Figure

A quadrilateral refers to a polygon having four sides or edges. Many polygons can share the characteristics of quadrilaterals. While at least six shapes could be considered quadrilaterals; however, only two polygons have four right angles — squares and rectangles.

Parallelogram:

A parallelogram can be described as a quadrilateral where both sides of a pair are parallel.

The following properties can also be found in a parallelogram.

• Contrast angles are compatible.
• Congruent sides are those on opposite sides.
• The adjacent angles are supplementary.
• The diagonals bisect each other.

A rectangle is a quadrilateral with four-sided figures and angles. Therefore, all rectangles can also be parallelograms and quadrilaterals. But not all quadrilaterals are parallelograms that can be considered rectangles.

Square:

The square is the other type of parallelogram. A square is one of the most basic geometric forms. It is a particular case of a parallelogram with four congruent edges and four right angles.

Rectangle:

Rectangle is also called a square because it has four right angles and two sets of parallel sides. A square is also called a parallelogram, as its opposite sides lie parallel. A square can also be classified as a parallelogram because its opposite sides are parallel.

Rhombus:

The rhombus, another quadrilateral, is also something you might have seen. The four sides of a rhombus are congruent. Its properties include that each pair is parallel, making it a parallelogram.

In short, all squares are rectangular, but not all rectangles. However, all rectangles are parallelograms. Not all parallelograms, however, are rectangles. All these shapes are quadrilaterals.

Define Rectangle Perimeter 

The rectangle perimeter refers to the length or distance along its entire boundary. The perimeter of a rectangle can be described as a linear measurement and is expressed in linear units such as metres, feet, inches or yards.

Example: You can go around the park once and cover a distance. This is the park’s Rectangle perimeter. To measure the perimeter of any rectangular field, you must travel along its boundary. The starting point is a fixed point that you start at. You end at the same starting point. The perimeter of a rectangle is the length or distance from the boundary.

The formula for Rectangle perimeter

The formula for rectangle perimeter is = 2 (length × width)

The perimeter of a rectangle refers to the length of the boundary. It is expressed in linear units such as cm, inches, etc.

Formulae for rectangle 

Below is the formula for the rectangle to calculate the area and rectangle perimeter. Considering that ‘l” represents the length of the rectangle and ‘b’ the width,

Element.                                      Formula            

Rectangle perimeter formula      2(1 + b) units

Length of the rectangle formula      P/2-b units

The breadth of the rectangle                  P/2 – 1 unit

Area of rectangle formula                Ixb sq. units

Length of the rectangle                    A/b units

The breadth of the rectangle                   A/I units

Diagonal of the rectangle.             √(1²+b²) units

Application- Formula for Rectangle

The Babylonian Early Documentation script demonstrates the use and understanding of geometric objects. These objects can have different lengths, widths and angles. They are also used in construction and astronomy. Ancient Egyptians constructed giant structures such as pyramids because they had a good understanding and skill in stone cutting. These rectangle volume formula concepts are extremely useful in object modelling, land surveys, and other activities.

Conclusion

Both the diagonals in a rectangle are equal in size. Another rectangular figure we can call a circular rectangle is a cyclic square. A circle that includes a rectangle with its entirety touching the circle’s circumference is a cyclic square. Many things can be made in a rectangular shape, including books, tables, boxes and papers. The word”rectangular” comes from Latin words that mean “right” and”angle”. Rectangle shapes are all over us. For example, TVs, tablets, envelopes, pillows, towels and fitness books, phones and rulers to measure are coming under rectangular shapes.