Difference Between Rhombus And Rectangle

Divergence Between Rhombus and Rectangle

In geometry, we accept gear up quadrilaterals, 2-dimensional shapes with four sides, 4 angles, and four vertices. Rhombuses and rectangles are among the mutual shapes seen around us. However, they seem to have a few common properties, but they have a few other properties that marking the betoken of differences between them. The main difference between them is that a rhombus has all equal sides, whereas, in a rectangle, the opposite sides are equal.

i.	What is a Rhombus and a Rectangle?
2.	Backdrop of a Rhombus and a Rectangle
iii.	Rhombus and Rectangle are Parallelograms
4.	Difference Between a Rhombus and a Rectangle
5.	Rhomb and Rectangle Formulas
vi.	FAQs

What is a Rhombus and a Rectangle?

Although rhombuses and rectangles are quadrilaterals, at that place are certain properties that differentiate them.

Rhombus:

A rhombus is a ii-dimensional shape and is besides characterized as a special parallelogram as it fulfills the requirements of a parallelogram, a type of parallelogram with iv coinciding sides. It has 4 equal sides, with the opposite angles being equal to each other, whereas its adjacent angles are supplementary.

Rectangle:

A rectangle is a also two-dimensional shape. Information technology has 4 equal angles and four vertices. All the four angles of a rectangle measure 90°. It is besides called a parallelogram every bit its reverse sides are parallel.

Properties of a Rhombus and a Rectangle

Some important backdrop of a rhombus are:

All iv sides are equal in length.
Contrary angles are equal.
Diagonals bisect each other.
The Sum of whatever two adjacent is 180°.

Some important backdrop of a rectangle are:

The reverse sides of a rectangle are equal and parallel to each other.
All the internal angles of a rectangle mensurate 90°.
The opposite angles of a rectangle are equal, hence, called a parallelogram.
The diagonals of a rectangle are of the same length and bifurcate each other.

Rhomb and Rectangle are Parallelograms

A parallelogram is a two-dimensional closed shape with opposites sides being equal and parallel to each other. Also, the reverse angles are equal. The diagonals bisect each other and split up the parallelogram into two congruent triangles. A parallelogram is farther divided into three special types, a rhombus and rectangle are 2 of them.

A rectangle is a parallelogram with two pairs of equal and parallel opposite sides and 4 right angles.
A rhomb is a parallelogram with four equal sides in which the reverse angles are equal.

Difference Between a Rhombus and a Rectangle

The important differences between a rhombus and a rectangle are listed in the table given beneath.

Rhombus vs Rectangle

Property	Rhombus	Rectangle
Sides	A rhombus has four equal sides.	In a rectangle, the contrary sides are equal.
Diagonals	The diagonals of a rhomb bifurcate each other at ninety°.	The diagonals of a rectangle bisect each other at different angles. One bending is an obtuse angle and the other 1 is an acute bending.
Angles	Opposite angles are equal. Adjacent angles add up to 180°. Diagonals brand right angles at the center.	Opposite angles, as well equally adjacent angles, are equal. An angle formed by the adjacent sides of a rectangle is ninety°. Diagonals brand different angles at the eye - an obtuse angle and an acute angle.
Lines of Symmetry	A rhombus has ii lines of symmetry.	A rectangle also has 2 lines of symmetry.

Rhombus and Rectangle Formulas

Once we know the length of the sides and the length of the diagonals of a given foursquare and a rhomb, we tin use the following formulas to calculate their area and perimeter.

The formula used to find the expanse of a rhombus is: Surface area = 1/ii×d1×d2, where d1 and d2 are the lengths of the diagonals.
The formula used to find the perimeter of a rhombus is: Perimeter = 4 × s, where 's' is the length of the side of a rhomb.
The formula used to find the area of a rectangle is: Surface area of a rectangle = fifty × b, where 'l' is the length of the rectangle and 'b' is the jiff of the rectangle.
The formula used to find the perimeter of a rectangle is: Perimeter = two (l + b), where 'l' is the length of the rectangle and 'b' is the breath of the rectangle.

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Examples on Divergence Between a Rhombus and a Rectangle

Example 1: Have a look at the given backdrop of a parallelogram and identify if the given parallelogram is a rhombus or a rectangle.
- The opposite sides are equal to each other and the interior angles are all right angles.
- The diagonals are of equal length and bisect each other.
Solution:

Although, a rhombus and a rectangle, are parallelograms only. But the properties given higher up are that of a rectangle every bit in the case of a rhombus, the interior angles are not right angles, even the diagonals are of unequal measure.

Therefore, the given parallelogram is a rectangle, not a rhombus.
Example ii: A rhomb has sides of length four units. Calculate its perimeter.

Solution:
The formula used to summate the perimeter of a rhombus is: perimeter = four × s, where 's' is the length of the side of a rhomb.

Given, side = 4 units. Substituting the values in the formula:
Perimeter = 4 × s = four × iv
= 16 units
Therefore, the perimeter of the given rhombus is 16 units.

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Practice Questions on Difference Betwixt Rhombus and Rectangle

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FAQs on Difference Between Rhomb and Rectangle

What Is the Deviation Betwixt Rhombus and Rectangle?

The important points of differences betwixt a rhombus and a rectangle:

A rhombus has four equal sides, whereas, in a rectangle, the reverse sides are equal.
The diagonals of a rhombus bisect each other at ninety°, whereas the diagonals of a rectangle bifurcate each other at different angles.
In a rhombus, the reverse angles are equal, whereas, in a rectangle, all angles measure ninety°.

What Are the Similarities Betwixt Rhombus and Rectangle?

A rhomb and a rectangle accept the post-obit similarities:

The opposite angles are equal.
The diagonals are equal in length and bisect each other.
Their opposite sides are equal and parallel.

What Property of Rhombus Is Unlike from the Property of Rectangle?

The property of a rhomb that makes information technology different from a rectangle is equally follows: A rhomb has all its iv sides equal. Both the diagonals are equal and bisect each other at right angles.

How Are Rhombus and Rectangle Different in Terms of their Diagonals?

The diagonals of Rhombus are not equal in length only are perpendicular to each other at the point of intersection, whereas the diagonals of Rectangle are equal only are non perpendicular to each other at the point of intersection.

Why Is a Rhombus Never a Rectangle?

Rhombus and rectangle, both are special parallelograms but rhombuses, in full general, are non rectangles, mainly because of the vertex angles, which are all right angles in the example of a rectangle.