Question

the perimeter of a parallelogram is 46 cm . One of the side is greater than the ither by 7cm. find the length of each side of a parallelogram​

Answer 1

Step-by-step explanation:

let the first side be X

then the other = X+7

perimeter of parallelogram = 2(l+b)

46 = 2( X+X+ 7)

46/2= 2x + 7

23-7= 2x

16= 2x

16/2= X

X = 8

then one side is 8 and another is 8+7 = 15

Answer 2

Answer:

The sides are 15 and 8 cm respectively.

Step-by-step explanation:

Question: The perimeter of a parallelogram is 46 cm . One of the side is greater than the other by 7cm. Find the length of each side of a parallelogram​.

To Find : The length of each side of the parallelogram.

Given: The perimeter of the parallelogram as well as difference between its sides.

Concept: The perimeter of a parallelogram is equal to 2(length of its sides+ breadth of its sides).

Explanation:

let the length of the parallelogram = l

let the breadth of the parallelogram= b

It is given that length is greater than breadth by 7 cm.

⇒ l = b+7.      --(1)

Now the perimeter of the parallelogram = 46cm.

2(l+b) = 46     ---(2)

putting the values of (1) in (2) we get:-

2(b+7+b)= 46

4b+14= 46

4b= 32

b = 8

putting the value in (1)

l= 15.

So the length = 15cm

breadth = 8 cm

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