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A piece of wire is 60 cm long. What will be the length of each side if the wire is used to for
(i) a square, (ii) an equilateral triangle, (iii) a regular pentagon, (iv) a regular hexag
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Answer:
(I)-15 cm ,(ii)-20cm,(III)-12cm,(iv)-10cm
Step-by-step explanation:
(I) length of wire = 60 cm
let each side of square be a then it's perimeter will be 4a
4a=60
a=15cm
each side of square will be 15 cm
(ii) let each side be a of equilateral∆ because we know that all the sides of an equilateral ∆ are equal. hence,
3a=60
a =20 cm
each side of triangle will be 20cm
(III) let is side of Pentagon be a then,
5a= 60
a=12cm each side of regular Pentagon is 12 cm
(iv) let each side of a regular hexagon be a then,
6a =60
a=10 cm
hence each side of regular hexagon is 10 cm
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