Table of Contents
- 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.
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
