Question

two sides of a parallelogram are in the ratio 5:3. if it's perimeter is 64 cm. find the lengths of its sides.​

Answer 1

Step-by-step explanation:

Let one side be 5x and another side is 3x so opposite sides must be 5x and 3x because it's a parallelogram and thus opposite sides are same

Perimeter = sum of all side

64=5x+3x+5x+3x

64=16x

x=4

So sides of parallelogram are 20,12,20,12.

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Answer 2

AnSwer -:

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Length of parallelogram is 20 cm

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Explanation-:

Perimeter of parallelogram-:

“P = 2(l+b)”

P = Perimeter

L = length

B = breadth or width

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Now ,

Given,

The length and breadth or two sides

of parallelogram are in ratio 5:3

Perimeter of parallelogram is 64 cm

To find ,

The length of the parallelogram

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Now ,

Let the ,

Length of parallelogram be 5x

and,

Breadth of parallelogram be 3x

Then,

Perimeter of parallelogram-:

“P = 2(l+b)”

P = Perimeter = 64 cm

L = length = 5x

B = breadth or width = 3x

Now ,

2(5x + 3x) = 64 cm

5x + 3x = 64/2

5x + 3x = 32

8x = 32

X = 32/8

X = 4

Hence,

Length of parallelogram is 5x =

5 x 4

= 20

Breadth of parallelogram is 3x =

3 x 4

= 12

Hence ,

Length of parallelogram is 20 cm

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Verification-:

Perimeter of parallelogram-:

“P = 2(l+b)”

P = Perimeter = 64 cm

L = length = 20 cm

B = breadth or width = 12 cm

Now ,

2 (20 + 12) = 64 cm

2 x 32 = 64

64 = 64

Therefore,

LHS = RHS

Hence verified

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Parallelogram-: A parallelogram is a

quadrilateral , whose

sides are parallel to each other.

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