Consider the original parallelogram and the reduction.

A parallelogram with side lengths 18 centimeters and 45 centimeters. A second parallelogram with side lengths A and 5 centimeters.
Figures not drawn to scale.

What is the length of side A in the new parallelogram?
2 cm
9 cm
90 cm
162 cm

i believe it is a but someone pls confirm thx

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THELMSJINTEE THELMSJINTEE · Answer 1 · 2021-03-10T19:45:14+01:00

I can confirm that it is A as I took the test and got 100%.

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PallaviB PallaviB · Answer 2 · 2022-07-13T06:41:51+02:00

The length of side A in the new parallelogram will be [tex]2[/tex] cm.

Scale Factor is defined as the ratio of size of new image formed to the size of old image.

We have,

A parallelogram with side lengths [tex]18[/tex] centimeters and [tex]45[/tex] centimeters.

And,

A second parallelogram with side lengths [tex]A[/tex] and [tex]5[/tex] centimeters.

Now,

Scale Factor [tex]=\frac{size\ of\ new\ image}{size\ of\ old\ image}[/tex]

So,

Now, Comparing sides ,

We get,

Scale Factor [tex]=\frac{45}{5}=9[/tex]

i.e. the second parallelogram have Scale Factor of [tex]9[/tex].

So,

Other sides of both parallelograms will be of same Scale Factor.

i.e.

[tex]=\frac{18}{A} =9[/tex]

⇒

[tex]A=2[/tex] cm

Hence, we can say that the length of side A in the new parallelogram will be [tex]2[/tex] cm.

To learn more about scale factor click here

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