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If the difference between two adjacent
sides of a parallelogram
is 20 units, perimeter is 200 units , then find the
measure of all sides
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1
Answer:
First side = 40 units
Adjacent Second side = 60 units
Step-by-step explanation:
Let the one side of parallelogram = x
then
According to given condition
The adjacent second side of parallelogram = x + 20
And
we know that
Parameter of parallelogram = 2(one side + adjacent second side)
Putting the values we get
Parameter of parallelogram = 2(x + x + 20) = 2(2x + 20) = 4x + 40
But
According to second given condition
Parameter of parallelogram = 200
By comparing both equations we get
4x + 40 = 200
4x = 200 - 40 = 160
x = 160 / 4 = 40
So
First side = 40 units
And
Adjacent Second side = x + 20 = 40 + 20 = 60 units
Thus
Adjacent Second side = 60 units.
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