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Question

A field is in the form of a parallelogram, whose perimeter is 450 m and one of its sides is larger than the other by 75 m. Find the lengths of all sides

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Solution

In given problem,
let ABCD be parallelogram,
So If AD and CB = x
Then, DC and BA =x+75
Perimeter = AD + DC + CB + BA
450=x+x+75+x+x+75
450=4x+150
450150 = 4x
300=4x
x = 3004
x= 75
Side = 75m
Opposite side = x+75 = 75+75
The answer is 150m

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