What is the total number of tiles used to make a bigger courtyard?

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A man paved his square courtyard with square tiles. After this, he wanted to increase the size of his courtyard and bought 324 more tiles of the same size. These were added onto the existing courtyard to make a bigger one in square shape. Find the total number of tiles used to make the bigger courtyard.

May 28th, 2015

At first, the number of tiles used by man = x2.

Let the number of tiles after adding 324 more tiles to the original number of tiles be y2.

x2 + 324 = y2

On observing the above equation, it is known that the pythagorean triplet 18, 24, 30 satisfy the above equation.

So, x = 24 and y = 30.

So, the number of tiles he used altogether = 302 = 900

May 28th, 2015

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May 28th, 2015
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May 28th, 2015
Jun 26th, 2017
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