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The sides of 14 Squares are 11 cm, 12 cm, 13 cm, .......... 24 cm, then find the total area of 14 squares.

3515 cm 2
4515 cm 2
2115 cm 2
3215 cm 2
Explanation:

$\dfrac{n(n+1)(2n+1)}{6}$

$Area of square=a^{2}$

$11^{2}+12^{2}+13^{2}+...+24^{2}$

$=[1^{2}+2^{2}+3^{2}+....+24^{2}]-[1^{2}+2^{2}+3^{2}+...+10^{2}]$

$=\dfrac{24\times25\times49}{6}-\dfrac{10\times11\times21}{6}$

$=4900-385$

$=4515$

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