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CBSE Class 10 Answered

A mason has to fit a bathroom with square marble tiles of the largest possible size.The size of the bathroom is 10ft×8ft. What would be the size of the tiles that has to be cut & how many such tiles are required?
Asked by agraharianiruddha | 24 Jul, 2018, 09:47: PM
answered-by-expert Expert Answer
begin mathsize 16px style Size space of space bathroom space equals space 10 cross times 8 space feet
1 space feet equals 12 space inches
Hence comma space 10 space feet equals space 10 cross times 12 equals 120 space inches
8 space feet space equals space 8 cross times 12 equals 96 space inches
To space find space the space side space of space straight a space square space tile space we space need space HCF space of space left parenthesis 120 comma space 96 right parenthesis
120 space equals space 2 cubed cross times 3 cross times 5
96 equals 2 to the power of 5 cross times 3
HCF left parenthesis 120 comma space 96 right parenthesis equals 2 cubed cross times 3 equals 24 space inch
Number space of space square space tiles equals fraction numerator area space of space bathroom over denominator area space of space square space tiles end fraction equals fraction numerator 120 cross times 96 over denominator 24 cross times 24 end fraction equals 20 space tiles
end style
Answered by Sneha shidid | 25 Jul, 2018, 10:00: AM
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