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Area of Parallelogram

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Here we will DISCUSS about how to find the area of a parallelogram. To calculate area of parallelogram we need to REMEMBER the formula and solve step-by-step.

ABCD is a parallelogram with base (b) and altitude (H).

area of parallelogram,perimeter of parallelogram

Area of parallelogram = 2 × Area of ∆ABC

= 2 × 1/2 × base × height sq. units

= 2 × 1/2 × AB × CE sq. units

= b × h sq. units

= base × height sq. units

Perimeter of parallelogram = 2(AB + BC)

= 2 × (SUM of adjacent sides)

Worked-out examples on area of parallelograms:

1. The base of the parallelogram is THRICE its height. If the area is 192 cm², find the base and height.

Solution:

Let the height of the parallelogram = x cm

then the base of the parallelogram = 3x cm

Area of the parallelogram = 192 cm²

Area of parallelogram = base × height

192 = 3x × x

⇒ 3x² = 192

⇒ x² = 64

⇒ x = 8

Therefore, 3x = 3 × 8 = 24

Therefore, Base of the parallelogram is 24 cm and height is 8 cm.