Question

20. The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the parallelogram . please answer fast . with explanation​

Answer 1

Answer:

Correct answer is 40 cm, 50 cm

Step-by-step explanation:

1st side be x c m

Then,

2nd side = (x+10)cm

perimeter of ||gm = 2(1st side +2nd side)

180=2(x+(x+10))

180=2(2x+10)

180=4x+20

4x=180-20

160=4x

x=40cm

Hence,

x(1st side) = 40cm

x+10(2nd side) = 40+10

=50cm

Correct Answer is (b). 40cm, 50cm

Answer 2

Answer :-

The lengths of adjacent sides of parallelogram are 40cm and 50cm.

Step-by-step explanation

To Find :-

• The lengths of adjacent sides of parallelogram.

★ Solution :-

Given that,

• The perimeter of a parallelogram is 180cm.
• One side exceeds the other by 10cm.

ㅤㅤㅤㅤㅤ✧ Assumption

Let us assume one adjacent length of parallelogram as (x)cm and the other length which exceeds the other by 10cm as (x + 10)cm.

As we know that,

Perimeter of parallelogram = Sum of all sides .

Therefore,

• (x) + (x + 10) + (x) + (x + 10) = 180cm

On simplifying,

→ x + (x + 10) + x + (x + 10) = 180

→ x + x + 10 + x + x + 10 = 180

→ 4x + 10 + 10 = 180

→ 4x + 20 = 180

→ 4x = 180 - 20

→ 4x = 160

→ x = 160/4

→ x = 40

We got, The value of x is 40.

Now, The adjacent sides are :-

• x = 40cm
• (x + 10) = (40 + 10) = 50cm.

Hence, The adjacent sides of parallelogram are 40cm and 50cm.