Question

The perimeter of a parallelogram is 180 cm. One of its sides is greater than the other by 30 cm. Find the
length of the sides of the parallelogram.


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Answer 1

Given :-

• The perimeter of a parallelogram is 180 cm.
• One of its sides is greater than the other by 30 cm.

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To find :-

• Length of the sides of the parallelogram.

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Solution :-

• Let one side of the parallelogram be x. Then the another side will be x + 30.

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As we know that, opposite sides of a parallelogram are equal.

→ Larger sides = (x + 30) cm

→ Smaller sides = x cm

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Perimeter of the parallelogram is given by

★ 2(Larger side) + 2(Smaller side)

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→ Perimeter = 180

→ 2(x + 30) + 2(x) = 180

→ 2x + 60 + 2x = 180

→ 4x = 180 - 60

→ 4x = 120

→ x = 120/4

→ x = 30

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• By putting the value of x

→ Larger sides are of = x + 30 = 60m

→ Smaller sides are of = x = 30cm

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Hence,

• Length of sides of the parallelogram are 60cm and 30cm.