Area of Parallelogram

In this page area of parallelogram we are going to see how to find the area of any parallelogram.

Definition of parallelogram:

A parallelogram is a quadrilateral in which opposite sides are parallel and equal in length. In other words opposite sides of a quadrilateral are equal in length,then the quadrilateral is called a parallelogram.

Properties of a parallelogram:

(i) Opposite sides are equal.

(ii) Opposite sides are parallel.

(iii) The diagonal of the parallelogram bisect each other.

(iv) The midpoint of the diagonals will be equal.

(v) Opposite angles of a parallelogram are equal.

The formula to find area of a parallelogram:

Area = b x h

Now let us see example problems to understand this topic much better.

Example 1:

Find the area of a parallelogram if the base is measuring 15 cm and the height is measuring 3 cm.

Solution:

Area of a parallelogram = b x h

Base = 15 cm

Height = 3 cm

Area of a parallelogram = 15 x 3

                               = 45 cm²


Example 2:

Find the base of a parallelogram if its area is 40 cm² and its altitude is 15 cm.

Solution:

Area of a parallelogram  = 40 cm²

                        b x h = 40 cm²

Here altitude (or) height = 15 cm

                       b x 15 = 40

                            b = 40/15

                            b = 8/3 cm

                            b = 2.67 cm


Example 3:

Find the height of a parallelogram if its area is 612 cm² and its base is 18 cm.

Solution:

Area of a parallelogram  = 612 cm²

                        b x h = 612 cm²

                 Here base = 18 cm

                       18 x h  = 612

                            h = 612/18

                            h =  34 cm


Example 4:

Find the area of parallelogram in meters. If the base is measuring 100 cm and the height is measuring 12 cm.

Solution:

Area of a parallelogram = b x h

Base = 100 cm

Height = 12 cm

Area of a parallelogram = 100 x 12

                               = 1200 cm²

                     1 m = 100 cm

                               = 1200/100

                               = 12 m²


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Area of Parallelogram to Formulas for Shapes