a rectangular courtyard of 10m 44cm breadth and 15m 12 cm length os to be paved with same size square stones. find the least possible number of such stones.
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Breadth of the courtyard = 10m 44 cm = 1044 cm
Length of the courtyard = 15m 12 cm = 1512 cm
H.C.F of these two measurements will give the side of the square stone
Factors of 1044 = 2*2*3*3*29
Factors of 1512 = 2*2*3*3*3*7
H.C.F = 2*2*3*3*= 36
Side of the square stone = 36cm
Area of the rectangular courtyard = No. of stones * Area of one Stone
Least no. of square stones = 1044*1512 / 36^2 = 1578528/1296 = 1218
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Answer:
1218
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