Question

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

Answer 1

Answer:

Step-by-step explanation:

Length of wire = 60cm

After dividing it in to piece, one piece is used for making a rectangle.

Length of rectangle = 10cm, width = 8cm

Perimeter of rectangle = 2(L + B)

= 2(10+8)

= 2 x 18

= 36cm

Therefore, to make the rectangle, 36cm of wire is used of 60cm wire.

The remaining wire will be used to make a hexagon.

Therefore, Remaining wire = Total length - Used for rectangle

= 60 - 36

= 24

Therefore, 24cm wire will be used to make the hexagon.

To determine the side of hexagon,

Perimeter of hexagon = Remaining wire = 6 x side

24 = 6 x side

24 / 6 = side

4 = side

Therefore, if the string is to be bent to make a hexagon, the side should be 4cm.