Question

http://prntscr.com/hm371o
Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
A) 33
B) 34
C) 38
D) 45

Answer 1

I'm only sometimes good at math, depending on how much calculus+trigonometry I've had to do over the course of the day. At this current time my mind is fried from math and I'm unable to help

@Vocaloid

Answer 2

or @Angle Shes online and will probably be able to help as well

Answer 3

@Angle

Answer 4

Okie thanks

Answer 5

Do you know the distance formula?

if you don't, I can start from there

Answer 6

Not really

Answer 7

that's ok, it gets a bit difficult to memorize :P

do you know the Pythagorean Theorem?

Answer 8

Somewhat

Answer 9

Names are hard to remember

Answer 10

\(a^2 + b^2 = c^2\)
you've seen this before? ^

Answer 11

where a, b, and c are the lengths of the triangle

Answer 12

Yes I have

Answer 13

For example, if
a = 3
b = 4

then
a^2 + b^2 = (3)^2 + (4)^2 = 9 + 16 = 25
so c^2 = 25

which means that c = 5

Answer 14

25 or 2.5?

Answer 15

9 + 16 = 25

then the \(\sqrt{25} = 5\)
so
c = 5
in that case

Answer 16

Ohhhhh

Answer 17

So in general:

\(a^2 + b^2 = c^2\)

if you square root both sides
then you can get

\(c = \sqrt{a^2 + b^2}\)

do you see that?

Answer 18

Yes

Answer 19

awesome :)

then the next idea, is to look at your rectangle like this:

Answer 20

Wow

Answer 21

so using the \(~~~c = \sqrt{a^2 + b^2}~~~\) formula, we can find the length of one of the sides of the rectangle

Answer 22

First we need to find what (a) and (b) are

by looking at (a) this way, how long do you think (a) is?

Answer 23

As in length or height??

Answer 24

We're looking at the length right now :)
try to find the length of (a)

Answer 25

13?

Answer 26

perfect! :D

Answer 27

then we try to find the height (b)

would you like for me to draw in the lines for that too, or do you want to try this step yourself? :)

Answer 28

Probs better if you draw it out. I'm terrible at this.

Answer 29

b is 13?

Answer 30

so what do you think is the height (b)?

Answer 31

13

Answer 32

awesome :)

then we use the Pythagorean Formula:
\(c = \sqrt{a^2 + b^2}\)

with a = 13 and b = 13
so
\(c = \sqrt{13^2 + 13^2}\)

c = ?

Answer 33

i walked into difficult looking math lol

Answer 34

XD

Answer 35

haha I'm just taking it step by step
honestly, if you just plug it into the distance formula, it would be faster; but I feel like you would understand it better if we think of this problem with the pythagorean theorem :P

Answer 36

Okay so where did we leave off?

Answer 37

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Angle
then we use the Pythagorean Formula:
\(c = \sqrt{a^2 + b^2}\)

with a = 13 and b = 13
so
\(c = \sqrt{13^2 + 13^2}\)

c = ?
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 38

338?

Answer 39

close :)
the square root of that ^_^

Answer 40

Square root of 338?

Answer 41

yup

Answer 42

Just a bunch of numbers http://prntscr.com/hm3qo1

Answer 43

yeah, I'm not sure what form your teacher wants your answer, so I guess we can just remember that number for later :)

Answer 44

the next step is

Answer 45

These are the answer options
Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
A) 33
B) 34
C) 38
D) 45

Answer 46

Ok, that's fine :)
we'll get there eventually

Answer 47

Okie

Answer 48

In height? Width? Length?

Answer 49

a = length = 3
b = height = 3

so \(c = \sqrt{3^2 + 3^2}\)

c = ?

Answer 50

3

Answer 51

hmm?

Answer 52

If we're looking for the square root of 9

Answer 53

Wait, wrong. Lemme do that again

Answer 54

careful!

\(c = \sqrt{3^2 + 3^2} = \sqrt{9 + 9}\)

yeah

Answer 55

And I got a bunch of decimals http://prntscr.com/hm3upo

Answer 56

Yup! That's right

then

Perimeter of a rectangle = 2*(width) + 2*(height)

= 2*(18.38...) + 2*(4.424)

Answer 57

So then what answer would that be in exact form?

Answer 58

nope
because your question asks for: "round to the nearest integer"

Answer 59

??

Answer 60

what did you get for the exact answer? :)
we can work from there

Answer 61

I don't understand. It can't be decimals. The answer options aren't decimals :/

Answer 62

Its just these

A) 33
B) 34
C) 38
D) 45

Answer 63

yeah

what did you get for
2*(18.384) + 2*(4.424) ?

Answer 64

Huh?

Answer 65

we get that number
then the closest number to that number is your answer

Answer 66

How do we do that?

Answer 67

2 times 18.384 = ?

Answer 68

then 2 times 4.424 = ?

Answer 69

then add those two numbers

Answer 70

then the nearest whole number to that is your answer

Answer 71

1st one is 36.768

Answer 72

2nd is 8.848

Answer 73

Both added together is 45.616

Answer 74

So that would be D?

Answer 75

She had to run, so I'm answering for her, that is indeed correct.

Answer 76

Okie, thanks