Question

Can someone please check my answer? It is an easy question. I have done the problem but came up with a different answer. I will medal the person with the best answer. Thanks! Look at the image along with the problem.

Use the following diagram to answer the next two questions:

If LMN ~ PQR and PQR has a perimeter of 112 units, calculate the perimeter of LMN.

286.72
179.2
43.75
70

If LMN ~ PQR, calculate the value of h shown.

21
9 3/8
24
32

Answer 1

You said :"check" , what is your answer?

Answer 2

For the first answer I got 70 but that can't be right. I used the height instead of the side. The second one I don't know.

Answer 3

the first one is ok. I got it too.

Answer 4

You check online or you "think" that it is not correct?

Answer 5

I think it is not correct because of the fact that when I did the problem I used the height and not the side of the shape to find the perimeter. I just don't know how to find the side. I did not look online.

Answer 6

oh boy!!! you are correct!! let me show you how to do

Answer 7

I use S for small triangle, and B for bigger one, ok?

Answer 8

ok

Answer 9

since they are similar, then the ratio between them applied for all (sides, area, perimeter, height...) ok?

Answer 10

look at the sides MN and QR the ratio is \(\dfrac{MN}{QR}=\dfrac{S}{B}=\dfrac{5}{8}\)
got me so far??

Answer 11

Yes. Do you want me to just show you how I got my answer? just to make sure it lines up with yours?

Answer 12

let me finish the stuff first,

Answer 13

okay

Answer 14

what does it mean? Well, it means S = \(\dfrac{5}{8}B\) or \(B=\dfrac{8}{5} S\)
the small image = 5/8 the big one, or the big one = 8/5 the small one
from that!!! to find the perimeter of the small one, we just take 5/8 the big one = 5/8*112=70
do the same with the height, but use the other formula big one = 8/5 small one
the height of the small one is 15, then the height of the big one = 8/5*15= 24
Very simple

Answer 15

Okay I did something similar to that but I wasn't sure because I used the height instead of the side and then added up the sides and height. Thank.

Answer 16

I count my finger on doing math. It may not look professional and it is not wrong. hihihi.. That's it.

Answer 17

Thanks! What about the second question?

Answer 18

read my post above, I give you the answer there

Answer 19

24?