a. In a parallelogram ABCD, the adjacent sides are in the ratio 5 : 2. Find the sides if the perimeter of the parallelogram is 98 cm.
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Correct answer:-
Given that,
Adjacent sides =5:3
Perimeter =98cm
Length of each side=?
Opposite sides of parallelogram are equal,
Thus, 3rd and 4th side =5:3
Let length of sides be=x
Perimeter of parallelogram =sum of all sides
98=5x−3x+5x+3x
98=16x
x=98/16
x=6.125cm
Length of 1 and 3rd side =15cm
Length of 2nd and 4th side 3×3=9cm
Length are =15cm,9cm,15cm,9cm.
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