Question

Q7. The perimeter of a parallelogram is
...150cm. One of its side is greater
than the other by 25 cm. Find the
lengths of all sides of the parallelogram.​

Answer 1

Answer:

Answer is 25 and 50

Step-by-step explanation:

Let length of one side be 'a' and other be 'b'

Since, opposite sides of parallelogram are equal, the father sides are also a and b.

let b be the longer side, b=a+25

b+b+a+a=150

=>a+25+a+25+a+a=150

=>4a+50=150

=>a=25

therefore sides are 25,25,50,50

Answer 2

Given:-

• The perimeter of a parallelogram is 150cm
• One of its sides is greater than the other by 25cm.

To find:-

• Find the length of the sides of the Parallelogram ?

Solutions:-

• Let the one side of parallelogram be 'x' cm.
• Let the another side of parallelogram be 'y' cm.

One of its sides is greater than the other by 25cm.

=> x = y + 25 ........(i).

We know that,

Perimeter of parallelogram = 2(l + b)

According to the question:-

Putting the value of 'x' from equation (i).

=> 150 = 2(x + y)

=> 150 = 2(y + 25 + y)

=> 150 = 2(2y + 25)

=> 150 = 4y + 50

=> 150 - 50 = 4y

=> 100 = 4y

=> 100/4 = y

=> 25 = y

=> y = 25

Putting the value of 'y' in equation (i).

=> x = y + 25

=> x = 25 + 25

=> x = 50

Hence, the length of the sides of the Parallelogram is 50.

Some Important:-

• Area of parallelogram = base × height
• perimeter = 2 (l + b)

Where,

• l = length
• b = breadth
• a = area
• p = perimeter