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Question

# Perimeter of the figure given below is 64 cm. Find the length of the side marked as 'x' by using the given perimeter.

A
22 cm
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B
18 cm
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C
42 cm
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D
36 cm
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Solution

## The correct option is A 22 cmGiven, perimeter of the figure = 64 cm Sum of the given sides = 6 cm + 2 cm + 4 cm + 18 cm + 4 cm + 2 cm + 6 cm = 42 cm Now, perimeter of the figure = Sum of length of all the sides ⇒ Perimeter of the figure = 6 cm + 2 cm + 4 cm + 18 cm + 4 cm + 2 cm + 6 cm + x ⇒ 64 cm = 42 cm + x ⇒ x = 64 cm - 42 cm = 22 cm ∴ Length of the remaining side (x) = 22 cm

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