1)A piece of a string is 48cm long. What will be the length of each side of the string is used to form: a)A square b)An equilateral triangle c)A regular hexagon.

2) How many envelopes can be made out of a sheet of paper 125cm by 85cm supposing each envelope requires a piece of paper of size 17cm by 5cm?

3) Anil runs around a square field of side 60m four times. What distance does he cover? Vinay runs twice a rectangular with length field 180m and breadth 110m. What distance does he cover? Who covers more distance and by how much?

Answer

Step-by-step explanation:

The string length is the perimeter of the shape.

∴ For each case, perimeter=30cm

(i) Square

A square has all the side equal.

Perimeter=4×(side of square)

∴side of square=

4

perimeter

=

4

30

=7.5cm

Hence, length of each side if the string is used to form a square will be 7.5 cm.

(ii) Equilateral triangle

An equilateral triangle has three equal sides.

Perimeter=3×(side)

∴side=

3

perimeter

=

3

30

=10cm

Hence, length of each side if the string is used to form an equilateral triangle will be 10 cm.

(iii) Regular hexagon

A regular hexagon has six equal sides.

Perimeter=6×(side)

∴side=

6

perimeter

=

6

30

=5cm

Hence, length of each side if the string is used to form a regular hexagon will be 5 cm

a - base

b - exponent

so,