Question

a hall is 21m long and 15m broad. find the cost of carpeting hall with a carpet of breadth 105cm at the rate of75rs. m​

Answer 1

Answer:

$\large \underline{\boxed{\mathsf{Total \: cost \: = 22,500rs}}}$

Step-by-step explanation:

$\large \underline{\underline{\textbf{Given that...}}}}$

A hall has length = 21m , Breadth = 15m ... Width of carpet = 105cm has to be carpeted on the floor of hall we need to find the total cost if it costs 75rs per metre

$\large \underline{\underline{\textbf{Solution..}}}}$

According to question we have

Length of the floor = 21m

Breadth of the floor = 15m

Now

Total area to be carpeted = Area of floor

Thus

$\mathsf{Area\:of\: floor \:=\: Length \times Breadth}$

$\implies \mathsf{Area\: of\: floor\: = 21m \times 15m}$

$\implies \mathsf{Total\:Area\: to \: be \: carpeted \:= 315 m^2}$

Now

$\mathsf{Width\:of \:carpet\: =\: 105cm \rightarrow \: \dfrac{105cm}{100} = 1.05m}$

Thus

$\mathsf{Total\: length\: of \: carpet\: required\: = \dfrac{Area\: of \:floor}{Width\:of\:carpet}}$

$\implies \mathsf{\dfrac{315 m^2}{1.05m} }$

$\implies \textsf{Length of carpet required = 300m}$

Now cost

Cost of carpet per metre = 75 Rs

Therefore

Total cost for carpeting the floor = 75rs × 300m = ₹ 22,500

$\underline{\textbf{Therefore required answer is}}$

$\huge \underline{\boxed{\textsf{22,500rs}}}$

Answer 2

Hey mate

Answer ,

Length of the floor = 21m

Breadth of the floor = 15m

Area of floor : Length × Breadth

Area of floor = 21 × 15

Area of floor = 315m 2

Width of carpet = 105 = 105 = 1.05

100

Total length of carpet required :

Area of floor

Width of carpet

= 315m 2

105 m

Required length of carpet = 300m Per metre cost of carpet = 75 rupees

= 75 Rs × 300m

= 22,500

So , Answer = 22,500.