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What is the value of x in the following figure?

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9.6cm

6cm

9cm

8.5cm

answer is A.

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Detailed Solution

We know the area of the parallelogram

b × h

, where b is the base and h is the height.
First, we will take DC as base and AL as height to find the area of parallelogram ABCD.
Area of ABCD=

D C × A L

= 18 c m × 6.4 c m

= 115.2 c m 2

Now, we will find the area using BC as the base and AM as height,
Area of ABCD=

B C × A M

115.2 = 12 × x

x = 9.6 c m

Hence, option 1 is correct.

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