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Mathematics 6 Online
OpenStudy (anonymous):

Help On Three Question Please!!!!!! Will Medal And Fan!

OpenStudy (anonymous):

@phi

OpenStudy (phi):

I would plot the points, and connect the dots as a first step

OpenStudy (anonymous):

ok like this?

OpenStudy (phi):

in a parallelogram, the opposite sides are equal. It is easy to find the length of the top and bottom sides (you count) what do you get for the length of the top side?

OpenStudy (anonymous):

6? on the top side.

OpenStudy (phi):

yes, and 6 for the bottom also for the "sides" you need to use the distance formula do you know it?

OpenStudy (anonymous):

Yes I Do

OpenStudy (phi):

can you find the distance between (2,-2) and (5,3) ?

OpenStudy (anonymous):

\[\sqrt{9+25}\]

OpenStudy (phi):

yes, so \( \sqrt{34}\)

OpenStudy (anonymous):

yes now what?

OpenStudy (phi):

that is also the lenght of the other side perimeter is the sum of the 4 lengths \[ 6 + \sqrt{34}+ 6 + \sqrt{34}\]

OpenStudy (phi):

you can combine "like terms" to make that a bit nicer

OpenStudy (anonymous):

Wait so you add them?

OpenStudy (phi):

yes, add the lengths. that is the definition of perimeter: total distance "around" the figure

OpenStudy (anonymous):

\[12+\sqrt{68} \]

OpenStudy (phi):

It is Greek: peri around, meter = measure or length

OpenStudy (phi):

sqrt(a) + sqrt(a) is not the same as sqrt(2*a) all you can do is say: I have one sqr(34) plus another sqr(34). How many sqr(34)'s do I have ?

OpenStudy (anonymous):

2 sqrt(34) ?

OpenStudy (phi):

yes so \[ 12 + 2\sqrt{34} \] is the answer they want

OpenStudy (anonymous):

ok so same on this one right?

OpenStudy (phi):

same idea, except opposite sides need not be equal , so it's more work First plot the points to see "what is what"

OpenStudy (anonymous):

So this?

OpenStudy (phi):

yes. you can use the distance formula for all 4 sides, but for 3 of them, you can just count

OpenStudy (anonymous):

So Top Side = 3 Bottom Side = 9 Right Side = 5

OpenStudy (phi):

now the last side, you use the distance formula

OpenStudy (anonymous):

\[\sqrt{36+25}\]

OpenStudy (phi):

what do you get for the perimeter?

OpenStudy (anonymous):

\[\sqrt{61}\]

OpenStudy (phi):

that is the length of the 4th side. the perimeter is the sum of the 4 sides.

OpenStudy (phi):

I assume you mean 17+sqr(61)

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so it is \[17+\sqrt{61}\]

OpenStudy (phi):

yes

OpenStudy (anonymous):

is that it?

OpenStudy (phi):

yes, that is the perimeter of the figure, in "exact" form (we could change the sqr(61) to a decimal, but it would only be approximate)

OpenStudy (anonymous):

This Last One

OpenStudy (anonymous):

OpenStudy (anonymous):

Top And Bottom are 7

OpenStudy (phi):

yes, you can do these problems

OpenStudy (anonymous):

\[\sqrt{25+64}\]

OpenStudy (anonymous):

\[\sqrt{89} \] for both sides right and left

OpenStudy (anonymous):

\[14+2\sqrt{89}\]

OpenStudy (phi):

looks good

OpenStudy (anonymous):

@phi you taught me how to do this!

OpenStudy (anonymous):

Thanks!

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