A) 300%
B) 400%
C) 600%
D) 800%
Correct Answer: D
Solution :
Let sides are a, b, c. So new sides are 3a, 3b, 3c and new perimeter = 3s Original area \[=\sqrt{s(s-a)\,(s-b)\,(s-c)}=K\] \[\therefore \] New area \[=\sqrt{3s(3s-3a)\,(3s-3b)\,(3s-3c)}\] \[=\sqrt{3\times 3\times 3\times 3s(s-a)(s-b)(s-c)}\] \[=9\left( \sqrt{s(s-a)(s-b)(s-c)} \right)=9K\] Increased area\[9K-K=8K\] \[\therefore \] % increase = 800%.You need to login to perform this action.
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