Question

A regular polygon with length of one side given as 2.5 cm has a perimeter of 50 cm. How many diagonals will it have?​

Answer 1

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$ANSWER</p><p></p><p>Solution:-</p><p></p><p>The string length is the perimeter of the shape.</p><p></p><p></p><p>∴ For each case, perimeter=30cm</p><p></p><p></p><p>(i) Square</p><p></p><p>A square has all the side equal.</p><p></p><p></p><p>Perimeter=4×(side of square)</p><p></p><p></p><p>∴side of square=4perimeter=430=7.5cm</p><p></p><p></p><p>Hence, length of each side if the string is used to form a square will be 7.5 cm.</p><p></p><p></p><p>(ii) Equilateral triangle</p><p></p><p>An equilateral triangle has three equal sides.</p><p></p><p></p><p>Perimeter=3×(side)</p><p></p><p></p><p>∴side=3perimeter=330=10cm</p><p></p><p></p><p>Hence, length of each side if the string is used to form an equilateral triangle will be 10 cm.</p><p></p><p></p><p>(iii) Regular hexagon</p><p></p><p></p><p>A regular hexagon has six equal sides.</p><p></p><p></p><p>Perimeter=6×(side)</p><p></p><p></p><p>∴side=6perimeter=630=5cm</p><p></p><p></p><p>Hence, length of each side if the string is used to form a regular hexagon will be 5 cm</p><p></p><p>$

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