Question

If the polygons are similar, which ratio shows the relationship of the area of the larger polygon to the area of the smaller polygon? the bigger polygon has a measurement of 12 and the smaller polygon has a measuremtent of 6 and 8.
4/1
9/4
3/2

Answer 1

is there a picture to go with this?

Answer 2

http://i43.tinypic.com/34spb9u.jpg

Answer 3

@completidiot here is the picture

Answer 4

you need to use proportions in order to determine the missing side

area of a trapezoid -
A= 1/2 (b1+b2)(h)

ratio
A1/A2 = (b11+b21)/(b21+b22)

Answer 5

On the ratio where did you get 11 and 21

Answer 6

those arent numbers those are part of the variable

Answer 7

oh okay

Answer 8

i was trying to differentiate the variables by using numbers

Answer 9

but then how do you find the missing side

Answer 10

b1 - base on top of trapezoid
b2- base on the bottom

b11- base on top of trapezoid 1
b21- base on bottom of trapezoid 1

Answer 11

we know that the 2 trapezoids are similar

so we can use a proportion to determine the missing side

Answer 12

8 is proportional to the missing side
and 6 is proportional to 12

Answer 13

okay so then it would be 12/6=2 so then 8x2 = 16 so then that is the missing side

Answer 14

it can be set up as

8/6= x/12
where x is the missing side

Answer 15

yes pretty much

Answer 16

okay thank you

Answer 17

But then what would be height

Answer 18

well, when you're doing the ratio, you will realize that the height cancels out so it wont be needed

Answer 19

oh okay

Answer 20

But wait then that will give you 2/1 that is not a choice

Answer 21

yeah I know the area of the smaller one is 7 then the bigger one is 14.... 14/7 it gives you 2/1 when simplified

Answer 22

oh wait sorry, i forgot,

height is also proportional

Answer 23

height of 2nd one would be 2h

height of 1st one would be h

Answer 24

SORRY

Answer 25

its okay LOL

Answer 26

But then how do you find h on the first one

Answer 27

again, the h cancels out

Answer 28

okay so then 2 is for the 12 or the 6 and since I have you here can you help me out on this please A bakery charges $0.10 for a cookie that is 2 inches in diameter. If the price is proportional to the area, how much do they charge for an extra large cookie that is 10 inches in diameter? Assume that each cookie is shaped of a circle.

Answer 29

Thanks I got 4/1