Question

The perimeter of a parallelogram is 160 cm. If one of the sides is longer than the other by 20
cm,
then find the length of each of its sides.
​

Answer 1

Answer:

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Answer 2

Question:

The perimeter of a parallelogram is 160 cm. If one of the sides is longer than the other by 20 cm, then find the length of each of its sides.

Given:

• Perimeter of a parallelogram = 160 cm

• One of the sides is longer than the other by 20cm

To Find:

• Length of each of its sides.

Formula Used:

• Perimeter of a parallelogram 2(l+b)

Solution:

Now Let us consider,

• One side be (x)cm And 2nd / Another side be (x + 20)cm

Using Formula

Perimeter of a parallelogram: 2(l+b)

Here,

• l = (x)c

• b = (20 + x)cm

• Perimeter = 160cm

Substituting values

$2(x + x + 20) = 160 \\ \\ 2(2x + 20) = 160 \\ \\ \frac{160}{2} = 2x + 20 \\ \\ 80 = 2x + 20 \\ \\ 80 - 20 = 2x \\ \\ 60 = 2x \\ \\ \frac{60}{2} = x \\ \\ x = 30$

We get,

• x = 30cm be one side $~$

Therefore Substituting:

• x = 30cm in 2nd side (x + 20)cm

We get,

• 30 + 20 = 50cm be another side

Therefore:

• One Side: 30cm
• Another Side: 50cm

Hope it helps ya!!

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