The perimeter of a parallelogram is 36 cm. One of its sides is greater than the other by 2 cm. The sides of the parallelogram are : (a) 8 cm, 10 cm (b) 6 cm, 8 cm a (c) 12 cm, 14 cm (d) none of these
Answers
Given : The perimeter of a parallelogram is 36 cm.
One of its sides is greater than the other by 2 cm.
To Find : The sides of the parallelogram
(a) 8 cm, 10 cm (b) 6 cm, 8 cm a (c) 12 cm, 14 cm (d) none of these
Solution:
One of sides is greater than the other by 2 cm.
Lets assume two adjacent sides are x , x + 2 cm
Opposite sides of a parallelogram are equal
Hence remaining two sides are also x , x + 2 cm
Perimeter = x + x + 2 + x + x + 2 = 4x + 4 cm
Perimeter = 36 cm
Equate
=> 4x + 4 = 36
=> 4x = 32
=> x = 8
x +2 = 10
Hence sides are 8 , 10 cm
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