A) \[540\,\,\text{c}{{\text{m}}^{2}}\]
B) \[1080\,\,\text{c}{{\text{m}}^{2}}\]
C) \[2160\,\,\text{c}{{\text{m}}^{2}}\]
D) \[4320\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: B
Solution :
Length of wire \[=\frac{22}{7}\times 42=132\,\,\text{cm}\] Let the length of rectangle \[=6x\,\,\text{cm}\]and breadth \[=5x\,\,\text{cm}\] \[\therefore \] \[2\,\,(6x+5x)=132\] \[\Rightarrow \] \[22x=132\Rightarrow x=\frac{132}{22}=6\] \[\therefore \] Length of rectangle = 36 cm and breadth = 30 cm \[\therefore \] Area of rectangle \[=36\times 30=1080\,\,\text{c}{{\text{m}}^{2}}\]
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