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Mathematics 20 Online
OpenStudy (anonymous):

PLEASE HELP ME . I WILL GIVE MEDAL. JUST NEED MY ANSWERS CHECKED

OpenStudy (anonymous):

Why did you choose C?

OpenStudy (psymon):

I apologize, width is 5

OpenStudy (anonymous):

Psymon's got this! That's how I solved it too. Dividing the figure into a parallelogram and a triangle!

OpenStudy (psymon):

So you have a triangle with base 5 and height 5. The area of a triangle is (1/2)base * height. The parallelogram has a base of 5 and a height of 3. The area of a parallelogram is base*height. This means that you have (1/2)(5)(5) for the triangle + (3)(5) for the parallelogram. This should show you the correct answer : )

OpenStudy (psymon):

Bingo.

OpenStudy (psymon):

Yeah, Ill take a look.

OpenStudy (psymon):

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OpenStudy (psymon):

From here, the distance formula is needed for each set of two points. The distance formula is: \[d = \sqrt{(x _{2}-x _{1})^{2} + (y _{2}-y _{1})^{2}}\] So Ill use this for each set of points, starting with (2,0) and (4,5)

OpenStudy (psymon):

\[d = \sqrt{(4-2)^{2}+(5-0)^{2}}= \sqrt{4 + 25} = \sqrt{29}\] Now I'll continue with a couple more and have you try the rest ^_^

OpenStudy (psymon):

Now I'll do (4,5) to (8,7) \[d = \sqrt{(8-4)^{2}+(7-5)^{2}} = \sqrt{16 + 4} = \sqrt{20}\] Now (6,4) to (8,7) \[d = \sqrt{(8-6)^{2}+(7-4)^{2}} = \sqrt{4+9} = \sqrt{13}\] So those are the first 3 distances. if you know how to do this then Im sure you can do the last 2. This relates to perimeter because me using the distance formula is the same as me finding the length of each side. Once I find the length of all 5 sides, I can add them all together. It's just a tedious process because you need the distance formula to calculate each side length.

OpenStudy (psymon):

I have the answer when you finish, so I can tell ya if youre right.

OpenStudy (psymon):

Yeah, all 5 distances will be square roots that you will add up all together :P

OpenStudy (psymon):

mkay, let me know :P

OpenStudy (psymon):

You will have: \[\sqrt{(10-6)^{2}+ (3-4)^{2}} = \sqrt{16+1}\] You have to remember that even though it's a negative 1, it becomes squared. That and you still need the square root xD

OpenStudy (psymon):

It doesn't matter. Either way, when they become squared they will turn positive. That and because its the addition of the two, the order does not matter. A + B is the same as B + A : )

OpenStudy (psymon):

Right, so now you have all 5 roots.

OpenStudy (psymon):

hmm O.o My calculator came up with 26.1. But then again, my calculator can do all 5 square roots at once in one step, so its likely to be more accurate. Check and make sure you have the same roots I have :P

OpenStudy (psymon):

\[\sqrt{29}+\sqrt{20}+\sqrt{13}+\sqrt{17}+\sqrt{73} \approx 26.13\]

OpenStudy (psymon):

It should be 17, not 16.

OpenStudy (psymon):

Basically, the difference in our answers is rounding. I'll round to more decimal places and lets see what happens :3

OpenStudy (psymon):

29 = 5.385 20 = 4.472 17 = 4.123 13 = 3.606 73 = 8.544 Added together we have approx 26.13

OpenStudy (psymon):

That is when I round to 3 decimal places. I don't have to round on my calculator, I just punch it all in and comes out to technically 26.1299614....but yeah o.o

OpenStudy (psymon):

Amazing how rounding decimals can get you a wrong answer ya think is correct o.o

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