Question

https://clackamasweb.owschools.com/media/g_geo_ccss_2014/8/groupi31.gif

Find the area of the trapezoid shown.


43.5 sq. units

43.5√3 sq. units

Answer 1

tan (60) = h/3
\[\sqrt{3} = h/3\]
\[3\sqrt{3} = h\]
area of trapezoid = \[Area = ((a+b)\div 2 ) h\]
a = 10
b =16
h = 3sqrt3

Answer 2

so which one is it? @sangya21

Answer 3

neither of these
\[\tan 60^0 = \sqrt{3}\]
\[h = 3\sqrt{3}\]
\[area = ((10+16)/2)* 3\sqrt{3}\]
\[area = (26/2)* 3\sqrt{3}\]
\[area = 13* 3\sqrt{3}\]
\[area = 39\sqrt{3}\]

Answer 4

its not 39

Answer 5

thats what my calculation says. let me ask someone for help
@StudyGurl14 @Compassionate

Answer 6

@TheSmartOne

Answer 7

What d'ya need help with, friends?

Answer 8

@StudyGurl14 although we have applied the correct formula, we are not able to get desirable answer.
Is there any other way to do this?

Answer 9

Hm...It appears you used tan to get the height. Couldn't you have just used the information known about 30-60-90 special right triangles?

Answer 10

Although, it probably would result in the same height...let me check.

Answer 11

no, the height still comes out to \(\large 3\sqrt{3}\)...

Answer 12

Oh, I see what the problem is...yo forgot to add 3 to 16 to find the length of base b

Answer 13

So \[29 \times 3\sqrt{3} \times \frac{ 1 }{ 2 }= Area\]

Answer 14

That is what I am getting so far...

Answer 15

Area of trapezoid: \(\large(\frac{b_1+b_2}{2})h\)

Answer 16

Exactly ^^

Answer 17

Oops.

Answer 18

\(\large(\frac{10+(16+3)}{2})(3\sqrt{3})\)

Answer 19

thanks @StudyGurl14

Answer 20

Don't worry @sangya21 , you had the right idea and everything. Just one small mistake that I've made many times over. :)

Answer 21

Anytime. :)

Answer 22

\(\large(\frac{29}{2})(3\sqrt{3})\rightarrow\frac{29(3)\sqrt{3}}{2}\rightarrow\frac{87\sqrt{3}}{2}\)

Answer 23

and 87/2=43.5

Answer 24

\(87\div2=43.5\)

Answer 25

So \[43.5\sqrt{3}\]

Answer 26

Exactly. :)

Answer 27

so....
\(\large43.5\sqrt{3}\tt=the~answer\)

Answer 28

you keeping beating me to it @TheSmartOne , lol :)

Answer 29

It makes me so happy when my friends get to the answer after me...

Answer 30

No @StudyGurl14
Why are you at 86 SS. Now I have to work harder. :(

Answer 31

When I overtake you in SS I will change my profile pic to whatever yours is then. :)

Answer 32

Once I overtake Cam i will change my profile pic to hers Ok? @camerondoherty And then you are next. :)

Answer 33

Thank you all:))