the perimeter of a parallelogram is 180 cm. one of its side is greater than the other by 30 cm. find the length of the side of the parallelogram.
Answers
Answered by
293
1st side be x
2nd side = x+30
perimeter of ||gm = 2x + 2(x+30)
180=2x+2x+60
120=4x
30=x
1st side is 30cm
2nd side is 60cm
2nd side = x+30
perimeter of ||gm = 2x + 2(x+30)
180=2x+2x+60
120=4x
30=x
1st side is 30cm
2nd side is 60cm
Answered by
106
Given ,
Perimeter of parallelogram = 180 cm
So , Let
Side A = x cm
Side B = x+30 cm
Side C = x cm
Side D = x+30 cm
Perimeter = sum of all sides
So ,
Perimeter of parallelogram = x + x + x+30cm +x+30cm ,
Or ,
2x + 2(x+30) = 2x + 2x + 60 ( brackets opened )
So ,
180 cm= 2x + 2x+60
180-60= 2x+2x
120 = 4x
x = 120/4
= 30 cm .
THEREFORE ,
Side A = 30 cm
Side B = 30 cm + 30 cm
= 60 cm
Side C = 30 cm
Side D = 30 cm + 30 cm
= 60 cm .
( Remember , opposite sides are equal )
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