A hall is 21 m long and 15m broad.
Find the cost of carpeting the hall
with a
carpet of breadth 105 cm at
the rate of ₹ 275 per
metre
Answers
Step-by-step explanation:
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}Areaoffloor=Length×Breadth
\implies \mathsf{Area\: of\: floor\: = 21m \times 15m}⟹Areaoffloor=21m×15m
\implies \mathsf{Total\:Area\: to \: be \: carpeted \:= 315 m^2}⟹TotalAreatobecarpeted=315m
2
Now
\mathsf{Width\:of \:carpet\: =\: 105cm \rightarrow \: \dfrac{105cm}{100} = 1.05m}Widthofcarpet=105cm→
100
105cm
=1.05m
Thus
\mathsf{Total\: length\: of \: carpet\: required\: = \dfrac{Area\: of \:floor}{Width\:of\:carpet}}Totallengthofcarpetrequired=
Widthofcarpet
Areaoffloor
\implies \mathsf{\dfrac{315 m^2}{1.05m} }⟹
1.05m
315m
2
\implies \textsf{Length of carpet required = 300m}⟹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}}
Therefore required answer is
\huge \underline{\boxed{\textsf{22,500rs}}}
22,500rs