Answer :
Answer:
24cm,32cm
Step-by-step explanation:
To find the length of the adjacent sides of the parallelogram, we first need to understand that in a parallelogram, opposite sides are equal in length.
Let the lengths of the two adjacent sides of the parallelogram be \(3x\) and \(4x\) (where \(x\) is a common multiplier).
The perimeter of the parallelogram is the sum of all its sides, which is twice the sum of the lengths of the adjacent sides:
\[ \text{Perimeter} = 2 \times (3x + 4x) \]
Given that the perimeter is \(112 \, \text{cm}\), we can set up the equation:
\[ 112 = 2 \times (3x + 4x) \]
\[ 112 = 2 \times 7x \]
\[ 56 = 7x \]
\[ x = \frac{56}{7} = 8 \]
Now that we have found the value of \(x\), we can find the lengths of the adjacent sides:
First side: \(3x = 3 \times 8 = 24 \, \text{cm}\)
Second side: \(4x = 4 \times 8 = 32 \, \text{cm}\)
So, the lengths of the adjacent sides of the parallelogram are \(24 \, \text{cm}\) and \(32 \, \text{cm}\).
Step-by-step explanation:
Let the ratio terms be X
Perimeter of the parallelogram =112cm
Acc. to the question.
3x+4x+3x+4x=112
14x=112
x=112/14
x=8
1st side= 3x=3*8
=24cm
2nd side= 4x= 4*8
=32cm
Ans- 24cm,32cm,24cm, 32cm