Question

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Answer 1

Answer:

Q16 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= Perimeter/4 =30/4=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= Perimeter/3= 30/3=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= Perimeter/6=30/6=5cm

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

Q17 Given :

Length of the floor is 5m

The breadth of the floor is 4m

So, ( applying ar. l×b )

ar. of floor =4m×5m=20m² Side of the carpet is 3m

So, (applying ar. of sq. =side×side(s))

area of carpet=3m×3m=9m²

To find the area of the floor that is not carpeted or (uncarpeted) we will (−) minus the ar. of the floor from ar. of carpet

area which is not carpeted or( uncarpeted ) =20m²- 9m²

= 11m²

Answer 2

Answer:

a)7.5

b)10

c)5

Step-by-step explanation:

a) A Square has 4 equal sides.

So the length of each side = Total length/4

= 30/4 = 7.5 cm.

b) An equilateral triangle has 3 equal sides.

So length of each side= Total Length/3

=30/3 = 10cm.

c) A Regular Hexagon has 6 equal sides.

So the length of each side = Total length/6

=30/6 = 5cm.

Note:- 30/4 means 30 divided by 4