Respuesta :

Answer:

The ratio of perimeters is 1 : 1

Step-by-step explanation:

Given as :

The ratio of corresponding sides length of two parallelogram = 9:14

So, Let The Lengths of the opposite sides of parallelogram = 9 x

And The breadth of the opposite sides of parallelogram = 14 x

Let The perimeter of parallelogram = P

Now, for Parallelogram , its opposite sides are parallel and equal

∴ Perimeter of  Parallelogram = 2 × Length + 2 × breadth

or,  Perimeter of  Parallelogram = 2 × 9 x + 2 × 14 x

or,  Perimeter of  Parallelogram = 18 x + 28 x

or, Perimeter of  Parallelogram = 46 x

Now, Since both the parallelogram have same side length ratio , so

The perimeter of both is same = 46 x

So , [tex]\dfrac{\textrm perimeter of parallelogram 1}{\textrm perimeter of parallelogram 2}[/tex] = [tex]\frac{46 x}{46 x}[/tex]

Or,  [tex]\dfrac{\textrm perimeter of parallelogram 1}{\textrm perimeter of parallelogram 2}[/tex] =1 : 1

Hence The ratio of perimeters = 1 : 1    Answer

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