A) 4840 sqm
B) \[~1400\,{{m}^{2}}\]
C) \[4800\,{{m}^{2}}\]
D) \[~3600\text{ }{{m}^{2}}\]
Correct Answer: C
Solution :
The line of division is along the So, each son gets an equal area. Area of \[\Delta \Alpha \Beta C\] \[=\sqrt{s(s-a)(s-b)(s-c)}\] Where \[s=\frac{a+b+c}{2}\] Given \[a=10\,m,b=100\,m\]and \[c=160\,m.\] \[\therefore \]Area of \[\Delta \Alpha \Beta C\] \[=\sqrt{180(80)(80)(20)}=4800\,{{m}^{2}}\] \[\therefore \]Hence each son gets an area of \[4800{{m}^{2}}.\]
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