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Question: The perimeter of parallelogram WXYZ is 42 cm and WX is 9 cm. Find the length of the other sides.

A ) 12 cm, 9cm, 12 cm
B ) 9 cm, 9 cm, 12 cm
C ) 12 cm, 12 cm, 12 cm
D ) 7 cm, 12 cm, 7 cm

Steps to derive

1 Perimeter of the parallelogram WXYZ = 42 cm
 [Given.]

2 One side = 9

3 Opposite side will be 9.
 [Opposite sides are equal.]

4 Therefore, 9 + 9 = 18

5 42 - 18 = 24
 [Deducting two sides.]

6 24 / 2 = 12
 [Sum of the other two sides is 24, each side is 24 / 2 = 12.]

7 So, the lengths of the other sides are 12 cm, 9 cm, and 12 cm.



Hence the right answer is Option A

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