Question

A rectangular courtyard of length 20 m 16 cm and breadth 15 m 60 cm is to be paved with
same sized square tiles. Find the maximum possible number of such tiles.​

Answer 1

Answer:

length of the rectangular Courtyard = 20m 16 cm = 2016 cm

 

Breadth of the rectangular Courtyard = 15m 60 cm = 1560 cm

 

HCF(2016, 1560) =?

 

Prime factorisation of 2016 and 1560 are as follows:

2016 = 2 × 2 ×2 ×2 ×2 ×3 ×3 ×7

1560 = 2 × 2 ×2 ×3 ×5 ×13

 

→HCF(2016, 1560) = 2 × 2 ×2 ×3 = 24

 

Least possible number of stones to be paved

= Area of a rectangular courtyard ÷ Area of a square stone

= (2016 × 1560) ÷ (24)2

 

= 5460

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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