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Elements of a Parallelogram

In a parallel...

Question

In a parallelogram ABCD, AB=18 cm, BC=12 cm, $A L ⊥ D C$ and $A M ⊥ B C$
If AL=6.4 cm, find the length of AM.

9.6cm

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8.8cm

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8.5cm

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Solution

The correct option is A 9.6cm
Area of parallelogram is same
$A M \times B C = A L \times C D$
Given $A L = 6.4 c m$ and $A B = 18 c m$ $B C = 12 c m$
So $A M \times 12 = 6.4 \times 18$
$A M = 9.6 c m$

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