Area of Parallelogram

The area of parallelogram is equal to base multiplied by its corresponding height.

Area of ABCD = Area of ΔADC + Area of ΔACB

= (1/2 × DC × h) + (1/2 × AB × h)

= 1/2 × h × (DC + AB)

As opposite sides of a parallelogram are equal, AB = DC.

Area of ABCD = 1/2 × h × (DC + DC)

= 1/2 × h × (2 × DC)

= h × DC

Area of parallelogram = Base × Corresponding height

Example 1: A parallelogram with base 5 cm and the corresponding height is 6 cm. Find the area.

Area of a parallelogram = Base × Corresponding height

= 5 × 6 = 30 cm2

Example 2: Area of a parallelogram is 216 cm2 and one side is 32 cm. Find the corresponding height.

Area = Base × height

216 = 32 × height

height = 6.75 cm