Area of parallelogram formula explained

Learn the formula for finding the area of parallelogram. Area of rectangle and parallelogram has the almost similar type of formula. If you have already learnt the formula for the area of rectangle then you can easily remember the area of parallelogram too.

Area of parallelogram

What is parallelogram? And how we can define it. A quadrilateral is a parallelogram if two pairs of opposite sides are parallel and also equal.

The below-given quadrilateral is called as parallelogram because the two pairs of opposite sides are equal and also parallel.

Area of parallelogram

AB || CD and AB = CD

AD || BC and AD = BC

Formula for finding the area of parallelogram:

Area of parallelogram

It is clear that PQ || SR and PS || QR and PQ be base of the parallelogram then

Area of parallelogram PQRS   = product of base and height

                                                        = PQ x AB

Therefore, area of parallelogram =   b x h

Example problems on area of parallelogram:

1. Find the area of parallelogram if the base is 6 cm and height is 9 cm.

Solution:

               Given

                              Base of parallelogram = 6 cm

                              Height of parallelogram = 9 cm

We know that,

                              Area of parallelogram = base x height

                                                                       = 6 x 9

                                                                       = 54 square cm.

2. Find the base of parallelogram if height equals to 15 cm and the area is 195 square cm.

Solution:

               Given

                              Height of parallelogram = 15 cm

                              Area = 195 square cm

We know that

                              Area of parallelogram = base x height

                                             195                  =  b x 15

                                             195/15          = b

                                             13                  = b

Therefore, base = 13 cm.

3. Find the height of parallelogram if the area is 300 square cm and the base is 12 cm.

Solution:

               Given

                              Base  of parallelogram = 12 cm

                              Area of parallelogram = 300 square cm

We know that,

                              Area of a parallelogram = base x height

                                             300                 = 12 x h

                                             300/12         = h

                                             25                 = h

Therefore, height = 25 cm.

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