question_answer

The ratio of the perimeter of a rectangle to its length is\[10:3\]. If its breadth is\[8\,\,cm\], what is the area of the rectangle?

A) \[81\,\,c{{m}^{2}}\]                

B)           \[64\,\,c{{m}^{2}}\]                

C)           \[25\,\,c{{m}^{2}}\]                

D)           \[96\,\,c{{m}^{2}}\]

Correct Answer: D

Solution :

Perimeter \[=10\] units Ratio of perimeter and length\[=10:3\] \[\therefore \]Breadth\[=\frac{10-2\times 3}{2}\] \[2\]units\[\to 8\,\,cm\](Given) \[1\]unit\[\to \]\[4\,\,cm\] \[3\]units\[\to 4\,\,cm\times 3=12\,\,cm=\]length Area\[\to \]\[12\,\,cm\times 8\,\,cm=96\,\,c{{m}^{2}}\]