Rectangle | What is Rectangle?

Rectangle | What is Rectangle?

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.
rectangle ABCD
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.

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 and breadth of a rectangle
                                Length (l) = BC = AD
                                Breadth (b) = AB = CD

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.

Diagonals of a rectangle

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:
                           length of diagonal = √(l^2 + b^2)

Perimeter and Area of Rectangle

Perimeter and area of a rectangle are given by the formula:
                                Perimeter = 2(l + b)
                                Area = l × b

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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