The border of an equilateral triangle of side 4 cm is covered using a ribbon of a given length. What would be the side of a square if the same ribbon covers its boundary completely?

4 cm

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5 cm

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6 cm

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3 cm

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Solution

The correct option is D 3 cm
Given:
Side of the equilateral triangle = 4 cm
$∵$ Perimeter of an equilateral triangle = 3 $\times$ side = 3 $\times$ 4 = 12 cm
Now, according to the question:
Perimeter of the square = length of the ribbon = 12 cm
$∵$ Side of a square
$= \frac{p e r i m e t e r}{4} = \frac{12}{4} = 3$ cm

Hence, the side of the square is 3 cm.

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