A) \[48\,c{{m}^{2}}\]
B) \[28\sqrt{3}\,c{{m}^{2}}\]
C) \[32\sqrt{2}\,c{{m}^{2}}\]
D) \[44\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Perimeter = 32 cm Let one of the equal sides be \[3x\]and other be \[2x\] \[\therefore \]\[3x+3x+2x=32\] \[\Rightarrow \]\[8x=32\Rightarrow x=4\] Sides of isosceles triangles are 12 cm, 12cm, 8 cm \[\therefore \]\[s=\frac{32}{2}=16\,cm\] Area \[=\sqrt{16\times 4\times 4\times 8}=32\sqrt{2}\,c{{m}^{2}}\]
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