A) \[\sqrt{5}+\sqrt{6.56}+\sqrt{6.56}+\sqrt{7.24}\]
B) \[\sqrt{5.15}+\sqrt{6.21}+\sqrt{6.21}+\sqrt{7}\]
C) \[\sqrt{5}+\sqrt{6}+\sqrt{6}+\sqrt{7}\]
D) None of the above
Correct Answer: A
Solution :
| Using the concept of Pythagoras theorem, |
| \[AB=\sqrt{{{(1)}^{2}}+{{(2)}^{2}}}+\sqrt{{{(2)}^{2}}+{{(1.6)}^{2}}}+\sqrt{{{(2)}^{2}}+{{(1.6)}^{2}}}\] \[+\sqrt{{{(2)}^{2}}+{{(1.8)}^{2}}}\] |
| \[=\sqrt{1+4}+\sqrt{4+2.56}+\sqrt{4+2.56}+\sqrt{4+3.24}\] |
| \[=\sqrt{5}+\sqrt{6.56}+\sqrt{6.56}+\sqrt{7.24}\] |
| So, option [a] is correct. |
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