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.

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 (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.

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

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.