3. the ratio of the corresponding side lengths of two similar parallelogram
signs is 9: 14.
a. what is the ratio of the perimeters? explain.

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 , =

Or,   =1 : 1

Hence The ratio of perimeters = 1 : 1    Answer

the answer is c

hope this !

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step-by-step explanation: