Question

Find the perimeter of the image below:

Figure PQRST is shown.
P is at negative 2, 11.
Q is at negative 4, 5.
R is at 2, 0.
S is at 1, 7.
T is at 8, 7.

37 units
38 units
39 units
40 units

I worked on this last night until 1 AM, but the person didn't help me to get to my answer so I'm still stuck.
This is how far I got last night: http://openstudy.com/study#/updates/568f2efde4b015375c3f5cdd

Answer 1

@ganeshie8

Answer 2

@surjithayer

Answer 3

\[PQ=\sqrt{\left( -4+2 \right)^2+\left( 5-11 \right)^2}=\sqrt{4+36}=\sqrt{40}=2\sqrt{10}\]
\[QR=\sqrt{\left( 2+4 \right)^2+\left( 0-5 \right)^2}=\sqrt{36+25}=\sqrt{61}\]
\[RS=\sqrt{\left( 1-2 \right)^2+\left( 7-0 \right)^2}=\sqrt{50}=5\sqrt{2}\]
\[ST=\sqrt{\left( 8-1 \right)^2+\left( 7-7 \right)^2}=7\]
\[TP=\sqrt{\left( -2-8 \right)^2+\left( 11-7 \right)^2}=\sqrt{100+16}=\sqrt{116}=2\sqrt{29}\]
add them all
but it does not match with any option,i think

Answer 4

So
2√10 - how do I solve that? I get the square root symbol, but what do I do with the 2 in front of it?
Same with 5√2 and 2√29

Answer 5

I THINK, though I'm not too sure, the sum of those is 38.97, which could be rounded to 39
but the question doesn't say round so ?
@surjithayer

Answer 6

Well, wait, I actually got 39 as an answer when I rounded RS from 7.07 to 7.1
Does that sound right to you?

Answer 7

i am unable to see your website.

Answer 8

anyway your problem is complete.

Answer 9

39 was right. thanks for all your help today though.

Answer 10

yw