Question

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​

Answer 1

Similarity, eh?

Explanation:

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

So, let's make a proportion!

`(15)/(25) =(3)/(x) \\15x=75\\x=5`

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

Now we need to find the perimeters!

`P_(1) =2(15+25)\\P_(1) =80\\P_(2) =2(3+5)\\P_(1) =16`

Now to find the difference!

`D=80-16\\D=64`

So there you go!

Hope this helps!

P.S. Stay Safe!