Question

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$\mathfrak\pink{Question}$

A man wants to cover his floor with carpet which costs Rs. 100 per square metres. His floor is in the form of a square which has a perimeter of 24 meters. What wil be the cost of carpeting the floor?


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Answer 1

Solution:

Let x be the side of the squared shaped floor

Given:

Perimeter:24m

To find:

The cost of carpeting the floor

Now,

Perimeter=24m

=>4x=24 [Perimeter of square:4x]

=>x=24/4

=>x=6m

In order to go find out the total cost of carpeting,we need to find the area of the floor.

$\mathbf{Area = x {}^{2} }$

Applying the formula,

$Area = x {}^{2} = 6 {}^{2} = 36m {}^{2}$

•The area of the floor is 36m^2

Given the cost for unit m^2 is 100 rupees

Total area:36m^2

Total cost:Total area × cost per one m^2

=36×100=3600 rupess

The total cost of carpeting is 3600 rupees.

Answer 2

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$\mathfrak\pink{Question}$

A man wants to cover his floor with carpet which costs Rs. 100 per square metres. His floor is in the form of a square which has a perimeter of 24 meters. What wil be the cost of carpeting the floor?

$\mathfrak\pink{Solution:}$

Given,

A man wants to cover the floor with carpet which costs Rs. 100.

His floor is in the form of a square.

Perimeter of the floor= 24 meters

Let the length of each side of the square be 'a'.

Perimeter of a square= 4a = 24 meters

Lenght of one side, a= 24 ÷ 4 = 6 meters

Area of a square= a × a

= 6 × 6

= 36 square metres

Total cost of carpeting the floor= 36 × 100

= Rs. 3600

The total cost of carpeting the floor is Rs. 3600.

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