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Q.

Arbaz plans to tile his kitchen with square tiles. Each side of the tile is 10 cm. His kitchen is 220cm in length and 180 cm breadth. How many tiles will he need?


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a

396

b

397 

c

398

d

400

answer is A.

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Detailed Solution

Concept-
When provided, The tile has a side length of 10 cm. His kitchen is 180 cm wide and 220 cm long. Find the area for one tile and the area of the kitchen floor to determine how many tiles arbaz needs.
https://lh4.googleusercontent.com/zJPcMBsHcZXtxEVbV3c8dFk-8uzWd2GHYifeynwGATijkuBcAV-Ds1ODQ4Ex5Mnak3E2sCODWCdut69q17yoA8y4Z01OGGdv1orvxErIdaoLxrY2PSlT2_gjwAqtZ1o7geFHLxfKDy_-mjLuf-w8TAArbaz intends to tile his kitchen with square tiles, which brings us to the first issue in the dilemma. Additionally, the tile measures 10 cm on each side.
Due to the tile's square shape, its area is https://lh6.googleusercontent.com/Y0IEdCeqbalqcu2cKEE-6pNOyRPghXLHj87a21sgV0ygvZsXSU0LJXRAHhsz2OmLFA7XAjwwKvAkeDEFa4gC0GkOLUWh24zWRcW6CNN2LtOhxLMxgAPTF-_QLY2s0zP74nKa_TsG3-8vh2xk9orhMQ.
If we simplify, one tile has an area of 100 sq cm____(1)
The kitchen is 220 cm long and 180 cm wide after that.
Kitchen dimensions are thus 220 cm in length and 180 cm in width.
Currently, kitchen floor area = https://lh6.googleusercontent.com/3AkSlS3vugHSzY7l1Ve81bFjaVnzw8Kb_T7cwFcKFlEnGtLgd9hRJahBvVs2uvKC_cotq7BrGrKL3OrbWzR8kU1dYbZ9mygXJDLgsOY1FrCnACxn7Vrjhnb5LwMZ_-TJcG9YHwaNiqVV34hPkeQ7aw _____(2)
The quantity of tiles required = https://lh3.googleusercontent.com/vnV8MgahT6CaAVeGbwoArL8vmTwgcoHiJGTb3t9MXbJ3UF68tw9be9tEpiEGDOvQGyzZudq8ribyq0L2xtaRIPlbD3rXKtuPa9T7cp88Ygl3D_eJjatws70Pvh4BQ4W5A6NU2qTdd9_82QYb9IuX0AHence, the correct answer is option 1) 396
 
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