Question

19. A wire 1 m 68 cm long is cut into two equal pieces. One piece is used to make a regular
pentagon and the other is used to make a regular hexagon. Find the difference in the
lengths of the sides of the pentagon and hexagon formed.​

Answer 1

1 m = 100cm

total length of wire = 1 m 68 cm

= 100 +68

= 168 cm

wire is cut into two equal piece = 168/2

= 84

so, length of each piece = 84 cm

we know regular Pentagon have 5 equal sides. so,

for make regular Pentagon from piece of wire,lengths of the sides of the pentagon = 84/5

= 16.8 cm

lengths of the sides of the pentagon = 16.8 cm

we know regular hexagon have 6 equal sides

so,

for make a regular hexagon from piece of wire,the length of sides of hexagon = 84/6

= 14 cm

the length of the sides of hexagon = 14 cm

the difference in the lengths of the sides of the pentagon and hexagon formed = length of sides of pentagon – length of sides of hexagon

= 16.8–14

= 2.8 cm

hope it helps you :)

Answer 2

Answer:

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