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Two parallelograms are similar. The shortest sides of one
parallelogram are 15 meters each and the longest sides are 25
meters each. The shortest sides of the other parallelogram are 3
meters each. What is the difference in the perimeters of the two
parallelograms?
a. 96 m
b. 80 m
d. 16 m
c. 64 m
d. 16 m​

Respuesta :

Answer:

Similarity, eh?

Step-by-step explanation:

First, we need to find the other side of the smaller parallelogram:

So, let's make a proportion!

[tex]\frac{15}{25} =\frac{3}{x} \\15x=75\\x=5[/tex]

So, the length of the of the other side is 5!

Now we need to find the perimeters!

[tex]P_{1} =2(15+25)\\P_{1} =80\\P_{2} =2(3+5)\\P_{1} =16[/tex]

Now to find the difference!

[tex]D=80-16\\D=64[/tex]

So there you go!

Hope this helps!

P.S. Stay Safe!

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