5. The perimeter of a parallelogram is 150 cm. One of its
Sides is greater than the other by 33 cm. find the length
of the sides of the parallelogram.
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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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