Question

Maya wants to cover the floor of her bedroom,which is 8 meters long and 6 meter wide, with carpet. if the cost of the carpet is Rs.1200 per square meter.what is the minimum cost for covering the floor of Maya's bedroom with carpet

Answer 1

AnswEr :

• Length = 8 metres
• Breadth = 6 metres

⋆ Refrence of Image is in the Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\mathsf{\large{6 m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{8 m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{100}{2}$

• Area of the Floor of Bedroom :

$\longrightarrow \sf Area = Length \times Breadth\\\\\\\longrightarrow \sf Area = 8 \:m \times 6 \:m\\\\\\\longrightarrow \sf Area = 48 \:{m}^{2}$

$\rule{200}{1}$

• Cost of Carpeting the Floor of Bedroom :

$:\implies\sf Cost = Area \: of \: Floor \times Rate\\\\\\:\implies\sf Cost = 48 \:\cancel{{m}^{2}} \times Rs. 1200 \: \cancel{{m}^{-2}}\\\\\\:\implies\sf Cost = 48 \times Rs. \:1200\\\\\\:\implies \boxed{\sf Cost =Rs. \:57600}$

⠀

∴ Cost of Carpeting the floor is Rs. 57600.

Answer 2

Answer:

$\huge{\boxed{\mathfrak{Answer=Rs.57600}}}$

____________________

Given that,

• Length of bedroom = 8 m
• Breadth of bedroom = 6 m
• Rate = 1200 per sq.m
• Cost of covering = ?

★ $\tt Area = Length \times Breadth$

$\leadsto\tt Area =( 8 \times 6)\:{m}^{2} \\ \leadsto\tt Area = 48\:{m}^{2}$

______________________

★ $\tt Cost\:of\:covering=Area\times Rate$

$\leadsto\tt Cost = Rs.(48 \times 1200) \\ \leadsto\tt Cost = Rs.57600$

$\therefore\tt {\underline{Cost\:of\:covering=Rs.57600}}$