A wire of length 60 cm is cut into two pieces. One piece is used to form a rectangle of length 10 cm and width 8 cm. The other piece is bent into the shape of a regular hexagon. What is the length of each side of hexagon?
Mensuration
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Question

A wire of length 60 cm is cut into two pieces. One piece is used to form a rectangle of length 10 cm and width 8 cm. The other piece is bent into the shape of a regular hexagon. What is the length of each side of hexagon?

Mensuration

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KnowledgeBoat · Accepted Answer

Given: Total length of wire = 60 cm Length of rectangle = 10 cm Width of rectangle = 8 cm Perimeter of rectangle = 2(length + width) = 2(10 + 8) cm = 2 × 18 cm = 36 cm Length of wire used for rectangle = 36 cm Length of wire used for hexagon = 60 - 36 = 24 cm Perimeter of regular hexagon = 6 × side ⇒ 24 = 6 × side ⇒ side = ⇒ side = 4 cm Hence, the length of each side of the hexagon is 4 cm.

Mathematics

A wire of length 60 cm is cut into two pieces. One piece is used to form a rectangle of length 10 cm and width 8 cm. The other piece is bent into the shape of a regular hexagon. What is the length of each side of hexagon?

Mensuration

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