Question

A rectangular courtyard is 20m 16cm long and 15m 60cm board it is to be paved with square stone of the same size. Find the least possible number of such stones

Answer 1

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



Cheers!

Answer 2

Step-by-step explanation:

1560 by 24 multiply 2116 by 24 = 65 multiply 84 equals to 506 5460