Question

एक आयताकार आंगन 20 मीटर 16 सेमी लंबा और 15 मीटर 16 सेमी चौड़ा है। यह एक ही आकार के वर्ग पत्थरों के साथ पक्का किया जाना है। ऐसे पत्थरों की कम से कम संभव संख्या बताइये
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Answer 1

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Answer 2

Answer:

The minimum number of square tiles would be 191,016

Step-by-step explanation:

A rectangular court yard whose dimension 20 m 16 cm long and 15 m 16 cm wide.

First we change both dimension into cm or integer.

Length = 20 m 16 cm = 2016 cm

Width = 15 m 16 cm  = 1516 cm

We need to find minimum number of square tiles. We will get minimum number of tiles if we take dimension of tiles HCF of both number.

Now we calculate the HCF of 2016, 1516

Factor of $2016=2^5\times 3^3\times 7$

Factor of $1516=2^2\times 379$

HCF = 2 x 2 = 4

Dimension of square tile = 4 cm

Now we find number of tile.

Number of tile $=\dfrac{2016\times 1516}{4\times 4}$

Number of tiles = 191,016

Hence, The minimum number of square tiles would be 191,016