The perimeter of a parallelogram is 60 cm. If one of it's sides is 12 cm, find it's other three sides.

in a parralleogram the opposite sides are equal so the side opposite to 12cm. will also b 12 now let the other side be 'x'

therefore, x+x+12+12=60

= 2x+24=60

= 2x=60-24

= x=18

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The perimeter of a parallelogram is 60 cm. If one of it's sides is 12 cm, find it's other three sides

if one side of the parallelogram is 12 cm ,then its opposite side is also 12 cm

and the perimeter of a parallelogram is 60 cm ,so let other two opposite sides be x (as they are also equal)

perimeter of a parallelogram = 60 cm

12 +12+x+x=60

24 + 2x =60

2x=60 - 24

2x = 36

x=18 cm

the other 3 sides are 12cm,18cm and 18cm

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Let us consider the parallelogram as ABCD.

As given in the question, let us take BC as 12 cm. As a result, AD is also 12 cm because according to the properties of a parallelogram, opposite sides are equal and parallel.

Let the other two sides (AB and DC) be 'x' each because opposite sides of a parallelogram are equal and parallel.

Therefore,

12 + 12 + x + x = 60

24 + x + x = 60

24 + 2x = 60

2x = 60 - 24

= 36

x = 36/2

= 18

Therefore, the measures of the parallelogram are - 12 cm, 12 cm, 18 cm and 18 cm.

Verification

(12 + 18) + (12 + 18) = 60

30 + 30 = 60

60 = 60

LHS = RHS

Hence, verified.

As given in the question, let us take BC as 12 cm. As a result, AD is also 12 cm because according to the properties of a parallelogram, opposite sides are equal and parallel.

Let the other two sides (AB and DC) be 'x' each because opposite sides of a parallelogram are equal and parallel.

Therefore,

12 + 12 + x + x = 60

24 + x + x = 60

24 + 2x = 60

2x = 60 - 24

= 36

x = 36/2

= 18

Therefore, the measures of the parallelogram are - 12 cm, 12 cm, 18 cm and 18 cm.

Verification

(12 + 18) + (12 + 18) = 60

30 + 30 = 60

60 = 60

LHS = RHS

Hence, verified.

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perimeter= 60 cm

the parallelogram has 2 pair of parallel sides

thus one side wouls be 12 cm

60-(12+12)=60 -24=36

thus we now would divide the number by 2 to make the side equal and parallel

36/2=18 thus the other 2 sides are 18 and 18

therefore, the sides of the parallelogram are 12 , 12 , 18 and 18

the parallelogram has 2 pair of parallel sides

thus one side wouls be 12 cm

60-(12+12)=60 -24=36

thus we now would divide the number by 2 to make the side equal and parallel

36/2=18 thus the other 2 sides are 18 and 18

therefore, the sides of the parallelogram are 12 , 12 , 18 and 18

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Opposite are equal in parallelogram so if AB is 12 than it opposite side that is CD will also be 12 and AD= CB because Opposite are equal in parallelogram so we have find two side that is 12 so to find AD we need to add all the things that we got till now

12+12+X+x+=60

24+2x=60

2x=60-24

2x=36

X=36

2

X=18

So AD =18 and CB =18 because Opposite are equal in parallelogram

12+12+X+x+=60

24+2x=60

2x=60-24

2x=36

X=36

2

X=18

So AD =18 and CB =18 because Opposite are equal in parallelogram

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