A) 9 cm, 16cm
B) 9cm, 15cm
C) 8cm, 15cm
D) 6cm, 10cm
Correct Answer: B
Solution :
Let ABCD be the parallelogram in which AB=3x cm and BC=5x cm. Since opposite sides of a parallelogram are equal, \[\therefore \]AB=DC=3x cm and \[BC=AD=5x\text{ }cm\] Perimeter of the parallelogram \[=\text{ }48\text{ }cm\] \[\Rightarrow AB+BC+CD+DA=48cm\] \[\Rightarrow (3x+5x+3x+5x)=48cm\] \[\Rightarrow 16x=48\Rightarrow x=3\] \[\therefore \]Length of the sides\[=(3\times 3)cm=9cm\] and \[(5\times 3)cm=15cm\] \[(3x+5x+3x+5x)=48cm\] \[\Rightarrow 16x=48\Rightarrow x=3\] \[\therefore \] Length of the sides\[=(3\times 3)\text{ }cm\text{=}9cm\] and \[(5\times 3)cm=15\text{ }cm\].
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