Area of a Parallelogram – Examples

# Area of a Parallelogram – Examples

• Problem 1
• Problem 2
• What’s Next?

In the previous segment, we learnt how to find the area of a parallelogram. In this segment, we will look at some problems based on the area of a parallelogram.

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## Problem 1

In a parallelogram ABCD, AX and CY are the altitudes on CD and AD respectively. If AD = 6 cm, CD = 12 cm, and CY = 10 cm. Find AX.

Solution:

AD = 6 cm CY = 10 cm CD = 12 cm

Considering AD as the base and CY as the corresponding height, Area of parallelogram ABCD = Base x Height = AD x CY

= 10 x 6

= 60 ??2.… (i)

Considering CD as the base and AX as the corresponding height, Area of parallelogram ABCD = Base x Height = CD x AX

= 12 x AX … (ii)

From (i) and (ii), 12 x AX = 60

So, ?? = 60

12

Hence, AX = 5 cm

## Related content

 Area of a Square and Rectangle Perimeter of a Parallelogram Area of an Irregular Figure Area of a Rectangle – Examples The Altitude Area of a Parallelogram

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