Question

floor tiles are square shape .each side 25 cm.how many tiles are need for a rectangular tower which is 90m long and 10 m wide .find the cost if one tile cost ₹8.​

Answer 1

AnswEr :

• Side of Square Tile = 25 cm

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.2,2){\mathsf{\large{25 cm}}}\put(7.7,1){\large{B}}\put(9,0.7){\matsf{\large{25 cm}}}\put(10.6,1){\large{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){2}}\put(10.5,1){\line(0,3){2}}\put(8,3){\line(3,0){2.5}}\put(10.6,3){\large{D}}\end{picture}$

$\rule{100}{2}$

• Length = 90m = (90 × 100) = 9000 cm
• Breadth = 10m = (10 × 100) = 1000 cm

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(6.9,2){\mathsf{\large{1000 cm}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{9000 cm}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{200}{1}$

• According to the Question Now :

$\longrightarrow \tt Area \:of \:Square \times Number = Area \: of \: Tower \\ \\\longrightarrow \tt (side)^{2} \times Number = (length \times breadth) \\ \\\longrightarrow \tt{(25 \:cm)}^{2} \times Number = (9000 \:cm \times 1000 \:cm) \\\\ \longrightarrow \tt Number = \cancel\dfrac{(9000 \:cm \times 1000 \:cm)}{(25 \:cm \times 25 \:cm)} \\ \\\longrightarrow \blue{\tt Number = 14400}$

$\rule{200}{2}$

• C O S T⠀O F⠀T I L I NG :

↠ Total Cost = Number of Tiles × Rate

↠ Total Cost = 14400 × Rs. 8

↠ Total Cost = Rs. 115,200

⠀

∴ Cost of tiling of Tower is Rs. 115,200.

Answer 2

Answer:

$\bf\red{Number\:of\:tiles=14,400}$

$\bf\red{Cost=Rs.115,200}$

________________________

$\bf\underline\green{Given\::}$

• Side of tiles = 25 cm
• Length of tower = 90 m
• Width of tower = 10 m
• Number of tiles needed =?
• Cost if 1 tile costs Rs.8

Area of tower=Length×Width

=> Area = (90 × 10) sq.m

=> Area = 900 sq.m

_____________________

Side of tile=25 cm=25/100 m= 0.25m

Area of tile = (0.25)^2 sq.m

=> Area = 0.0625 sq.m

_______________________

$\tt Number\: of\: tiles =\frac{Area\:of\:tower}{Area\:of\:tiles}$

$\mapsto\tt Number\:of\:tiles=\frac{900}{0.0625}$

$\mapsto\tt Number\:of\:tiles=14,400$

$\therefore$ 14400 tiles are needed.

_____________________

Cost = Rate × Number

=> Cost =Rs.(8 × 14400)

=> Cost = Rs.115,200

$\therefore$ Cost will be Rs.115,200

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