4. The perimeter of a parallelogram is 150 cm. One of its sides is greater than the
other by 25 cm. Find the lengths of all the sides of the parallelogram.
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Step-by-step explanation:
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Length of two sides is 25cm and other two sides is 50cm.
Step-by-step explanation:
Let one of the side be x and other one be y.
So, the sides of parallelogram are x,x,y,y.
Perimeter of the parallelogram=2(x+y)
150=2(x+y)
x+y=75 --------(1)
Also given that
x=y+25 ---------(2)
Substituting x from (2) in (1),
y+25+y=75
2y=50
y=25 cm
Again substituting y in (2),
x=25+25
x=50 cm
Therefore, length of all the sides are 25cm,25cm,50cm and 50cm.
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