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Question

# A rope of length 20 cm is able to cover only one straight boundary of the given figure. If the length of the curved boundary is one - fourth the length of straight side, What is the perimeter of the given symmetric figure?

A
44 cm
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B
43 cm
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C
45 cm
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D
46 cm
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Solution

## The correct option is C 45 cmSince the given figure is symmetric about the centre line as shown. The length of both the straight boundary will be same. Length of the straight boundary = Length of the rope. = 20 cm Length of the curved boundary = 14 × 20 = 5 cm Perimeter of the given shape = 5 + 20 + 20 = 45 cm

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