Question

4) Find the perimeter of Rectangle whose length and breadth are 150cm and 1m respectively.
5) Find the perimeter of a regular Pentagon with each side measuring 3cm​

Answer 1

Question 4 :

Given :

• Length of the rectangle = 150 cm
• Breadth of the rectangle = 1 m

To find :

• Perimeter of the rectangle

Concept :

➳ Formula to calculate perimeter of rectangle :-

• Perimeter of rectangle = 2(l + b)

where,

• l = length of the rectangle
• b = breadth of the rectangle

Solution :

Firstly, convert the breadth of the rectangle from m into cm.

As we know,

• 1 m = 100 cm

Multiply the value by 100 to convert it from m into cm.

• Breadth of the rectangle = 1 m = 100 cm

Substitute the values in the formula of perimeter of rectangle,

⇒ Perimeter = 2(150 + 100)

⇒ Perimeter = 2(250)

⇒ Perimeter = 500

✭ Perimeter of the rectangle = 500 cm

Question 5 :

Given :

• Side of a regular polgyon = 3 cm

To find :

• Perimeter of the regular Polygon

Concept :

• Pentagon has 5 sides.

 A regular Pentagon means :-

• All its sides equal to each other.
• All its interior angles equal to each other.
• All its exterior angles equal to each other.

➳ Formula to calculate perimeter of pentagon :-

• Perimeter of a regular polygon = Sum of all its sides

Solution :

Perimeter = Sum of all its sides

Substituting the given values,

⇒ Perimeter = 3 + 3 + 3 + 3 + 3

⇒ Perimeter = 15

✭ Perimeter of the regular Pentagon = 15 cm

Answer 2

Solution 4 :

Given :

• Length of Rectangle = 150cm
• Breadth of Rectangle = 1m = 100cm

To Find :

• Perimeter of Rectangle

Solution :

• Perimeter = 2(L + B)
• Perimeter = 2(150 + 100)
• Perimeter = 2 × 250
• Perimeter = 500cm

Thus Perimeter of Rectangle is 500cm

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Solution 5 :

Given :

• Shape = Regular Pentagon
• Side of Pentagon = 3cm

To Find :

• Perimeter of Pentagon

Solution :

✰ As it is a regular pentagon , so it's perimeter will be given by sum of all sides or 5 × side as it is a pentagon.

• Perimeter = 5 × side
• Perimeter = 5 × 3
• Perimeter = 15cm

Thus Perimeter of Pentagon is 15cm

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★ Additional Info :

Formulas Related to Perimeter :

• Perimeter of Parallelogram = 2(Base + Height)
• Perimeter of Triangle = Side + Side + Side
• Perimeter of Rectangle = 2(Length + Breadth)
• Perimeter of Square = 4× Side
• Perimeter of Pentagon = 5 × side
• Perimeter of Rhombus = 4 × Side
• Perimeter of Hexagon = 6 × Side
• Perimeter of Heptagon = 7 × Side
• Perimeter of Octagon = 8 × Side
• Perimeter of Nonagon = 9 × side
• Perimeter of Decagon = 10 × side

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