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ABCD is a parallelogram
Which is greater
a. The area of ABCD
b. 24 |dw:1437774703693:dw|

do you know how to find the area of parallelogram ? |dw:1437775012406:dw|

where the area is b*h

we are actually given b is 4

can you find h?

how do i find h?

the opp of that angle is the thing you want to find

opp and hyp
think sin( )

wait.... I cant use sin we don't use that it has to be an alternative method...

ok what is the alternative method?

im not sure it has to be done without sin tho...

oh then I don't know of another way to find the area

ok

so we don't need to find the area exactly

we can approximate it

what does this all mean..

24

right 4*h<24

where 4*h is the area of the parallelogram

didn't label what I called a by the way
|dw:1437775996191:dw|
I used Pythagorean theorem

\[6^2=h^2+a^2 \\ 6^2-a^2=h^2 \\ \sqrt{6^2-a^2}=h\]

hmmmmm i think i get it now..

ok

but yeah I would have used my trigonometry knowledge :p

this is complicated I'm gonna sit and stare at this for a while.

\[4h=4 \cdot 6 \sin(55)=24\sin(55) \approx 19.66 \]

all you have to know is that since h is between 0 and 6 (not including 6)
we have 4h<4(6)

hmmm... ok got it

anyways I think I'm done now :)
unless you have questions

ohhhh okay i think i understand better now

needed that visual thank you ^_^

visuals are the secret to math

agreed!!

I think it helps to know the hyp is the longest side in a right triangle on this question

yea definitely helps

yea it helped towards the end thanks again =)

np