Given:
In parallelogram ABCD, AL and CM are perpendicular to CD and AD respectively.
AL = 20 cm, CD = 18 cm and CM = 15 cm
Formula used:
Area of parallelogram = Base × Height
Perimeter of parallelogram = 2 × (Sum of parallel sides)
Solution:
Area of ABCD with base DC = AL × DC = 20 × 18
= 360 cm2
Again, Area of ABCD with base AD = CM × AD = 15 × AD
= 360 cm2 = 15 × AD
So, AD = 24 cm
AD = BC = 24 cm, DC = AB = 18 cm
Perimeter of ABCD = 2 × (24 + 18)
=> 2 × 42
=> 84 cm
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