96
Q.1
A mason has to fit a bathroom with square marble tiles of largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required.
Sol.
Length of bathroom
=
10 ft
=
10
×
12
=
120 inches
Breadth of bathroom
=
8 ft
=
8
×
12
=
96 inches
[Q 1 ft = 12 inche]
[Q 1 ft = 12 inches]
Area of bathroom
=
120
×
96
∴
120
96
-
24
96
96
-
4
0
∴
HCF (120, 96)
=
24
120
=
96
×
1
+
24
96
=
24
×
4
+
0
….(i)
….(ii)
DIVIDEND = DIVISOR × QUOTIENT + REMAINDER
1
120
96
Q.1
A mason has to fit a bathroom with square marble tiles of largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required.
Sol.
The side of the tile
∴
Number of tiles
=
Total Area of bathroom
Area of Each Tile
=
120
×
96
24
×
24
∴
HCF (120, 96)
=
24
Area of bathroom
=
120
×
96
=
24
Area of a tile
∴
=
(Side)2
=
(24)2
24 × 24
=
Area of a tile
∴
5
4
=
20
∴
No. of tiles required is 20.