Question

A rectangular courtyard of length 20m16cm and breadth 15m60cm is to be tiled with same size squared tiles. Find the least possible number of tiles.

Answer 1

Answer:

Step-by-step explanation:

Answers

Length of the rectangular court board = 20 m 16 cm = (2000 + 16) cm = 2016 cm

Breadth of rectangular courtboard = 15 m 60 cm = (1500 + 60) cm = 1560 cm

Least side of the square stones used to pave the rectangular courtboard = HCF of (2016, 1560)



Prime factorization of 2016 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7

Prime factorization of 1560 = 2 × 2 × 2 × 3 × 5 × 13

HCF (2016, 1560) = 2 × 2 × 2 × 3 = 24

∴ Side of the square s tones used to pave the rectangular court board = 24 cm

Number of square stones used to pave the rectangular court board



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