##
**Rectangle | What is Rectangle?**

A quadrilateral having opposite sides equal and each angles
90° (right angle) is called a rectangle. Or, we can say, a rectangle is a
parallelogram with each angle 90°. So,
each rectangles are parallelograms but each parallelograms are not rectangles.

In the given figure of quadrilateral ABCD, opposite sides AB
= CD and AD = BC and each angles ∠A, ∠B, ∠C and ∠D are 90°. So ABCD is
a rectangle.

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**Length and breadth of a rectangle**

The longer side of the rectangle is taken as length (l) and the
shorter side as breadth (b). In the given figure of rectangle ABCD,

Length
(l) = BC = AD

Breadth (b) = AB = CD

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**Diagonals of a rectangle**

The line joining the opposite vertices of a quadrilateral is
called a diagonal. Two diagonals of a rectangle are equal and bisect to each other.

In the given figure of rectangle ABCD. AC and BD are diagonals.
They are equal and bisect to each other i.e. AC = BD and AO = CO, BO = DO.

Length of diagonal of a rectangle is given by the formula:

###
**Perimeter and Area of Rectangle**

Perimeter and area of a rectangle are given by the formula:

Perimeter
= 2(l + b)

Area
= l × b

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**Properties of Rectangle**

1.
Opposite sides of a rectangle are equal.

2.
Each angle of a rectangle is 90°.

3.
Opposite sides of a rectangle are parallel.

4.
Diagonals of a rectangle are equal.

5.
Diagonals of a rectangle bisect to each other.

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