Question

Polygon ABCD has the following vertices:

A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)

Calculate the area of the polygon.

48 units squared
53 units squared
68 units squared
88 units squared

Answer 1

help pleez

Answer 2

its B

Answer 3

k ill try but i could be wrong

Answer 4

will give medal and be fan

Answer 5

lol

Answer 6

ok

Answer 7

explane pleez?

Answer 8

@I_Always_Smiling

Answer 9

@sammixboo

Answer 10

@iamwavy , Welcome to OpenStudy! Please do not give out direct answers.
@help100questions , are you familiar with the distance formula?

Answer 11

no

Answer 12

Ok, well it is essential here. The distance formula is \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\). So just pick 2 points and I will show you how to use this.

Answer 13

-5, 4 and 1,4

Answer 14

Ok, so -5, 4 is our \(x_1,y_1\) and 1, 4 is \(x_2,y_2\).

Answer 15

ok

Answer 16

Now just substitute the values into the formula. \(\sqrt{(1+5)^2 + (4-4)^2}\)

Answer 17

so -5 - 4 = 9 and 1 - 4 = 3 so thats confusing

Answer 18

I gave you all the substitutions.

Answer 19

the nubera in the parenthese are subtratred?

Answer 20

sorry for my bad spelling

Answer 21

yes, but subtracting a negative number is the same as adding

Answer 22

oh

Answer 23

it's fine, please excuse any typos I have, I was up until 5 am

Answer 24

so 9 + 3 = 12

Answer 25

This is after substituting the numbers into the formula \(\sqrt{(1+5)^2 + (4-4)^2}\)

Answer 26

wait 6 + 0?

Answer 27

No, \(\sqrt{6^2 + 0^2}\)

Answer 28

and thats 6 soooooo

Answer 29

what is \(6^2\)?

Answer 30

ummm 60?

Answer 31

6*6

Answer 32

or 12? im bad at math

Answer 33

36 ok

Answer 34

\(6^2\) is the same as \(6*6\)

Answer 35

36

Answer 36

SRY!!!!!!

Answer 37

it's ok :)

Answer 38

<3

Answer 39

ok so now we have \(\sqrt{36}\) which we already know is 6

Answer 40

alright

Answer 41

thanks

Answer 42

That isn't all

Answer 43

ok

Answer 44

hello?

Answer 45

???????