Question

A square sheet whose perimeter is 32 cm is painted at the rate of Rs.5 per m². The cost of painting is

Answer 1

Required Answer :

The total cost of painting the square sheet = Rs. 0.032

Given :

• Perimeter of the square sheet = 32 cm
• Rate of painting the square sheet = Rs. 5

To find :

• Total cost of painting the square sheet

Knowledge Required :

Formula to calculate the perimeter of square :

• Perimeter = 4 × a

Formula to calculate the area of square :

• Area = side × side

Solution :

Using formula,

• Perimeter of square = 4 × a

where,

• a denotes the side of the square

Substituting the given values :

⇒ 32 = 4 × side

⇒ 32/4 = side

⇒ 8 = side

Side of the square sheet = 8 cm

As we know,

• 1 m = 100

To convert the value from cm into m, divide the value by 100.

⇒ Side of the square sheet = 8/100

⇒ Side of the square sheet = 0.08 m

Using formula,

• Area of square sheet = side × side

Substituting the given values :

⇒ Area of square sheet = 0.08 × 0.08

⇒ Area of square sheet = 0.0064

Area of square sheet = 0.0064 m²

Total cost of painting the square sheet = Area × Rate of painting the square sheet

⇒ Total cost of painting the square sheet = 0.0064 × 5

⇒ Total cost of painting the square sheet = 0.032

Therefore, the total cost of painting the square sheet = Rs. 0.032