Math, asked by priya252, 1 year ago

the perimeter of parallelogram is 150 cm one of its side is greater than the other by 33 cm find the length of the sides of parallelogram

Answers

Answered by SumitDutonde22
96
Let, the smaller side of the parallelogram be 'x'
then the greater side of the parallelogram will be 'x+33'.

Now the perimeter of a parallelogram is,
P = 2 [ greater side + smaller side]
150 = 2 [ ( x + 33 ) + x ]
150 = 2 [ x + x + 33 ]
150 = 2 [ 2x + 33 ]

Dividing by 2 to both sides we get ,

75 = 2x + 33
2x = 75 - 33
2x = 42
x = 42÷2
x = 21 cm ......
x + 33 = 21 + 33 = 54 cm...

Therefore,the side of the smaller and greater sides of the parallelogram are 21 cm and 54 cm respectively.



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Answered by KnowledgeForSuccess
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