Question

Geometry question about area and similar shapes (i will post pic below along with my answer in the pic) could you check please? thank you!

Answer 1

that is not what i get
how did you get it?

Answer 2

i divided 39/27 =1.4444
so i thought it would have a scale factor of 1.4444
so i multiplied the smaller trapexoid area times 1.44444= approx 1027

Answer 3

the ratio of the sides is \(\frac{39}{27}=\frac{13}{9}\) or what you wrote as a decimal, but the area goes with the square

Answer 4

in other words the ratio of the areas is \[\frac{169}{81}\] the square of the ratio of the sides

Answer 5

clear or no? we could do a very simple example to see it
if one square has sides 1, and the other has side 2, then the area of the first one is 1, and the areas of the second is 4, the square of the ratio

Answer 6

im not following, you lost meat the 169/81

Answer 7

ok lets go slow and use my example of a square
no different for trapezoids

Answer 8

the ratio of the sides of the two squares, larger to smaller, is \(2:1\) or just \(2\)
but the ratio of the areas is \(4:1\) or \(4\)
the length of the larger one is twice the length of the smaller, but the area is 4 times as large

Answer 9

@satellite73 I am so sorry my laptop died

okay i might be totally lost but can you do 1.444 squared = 2.08 and 2.08* 711 = 14.78.88 or am i totally lost again? Sorry i am really trying here

Answer 10

yes you can do it that way

Answer 11

i would have solved \[\frac{169}{81}=\frac{x}{711}\] but if you are using a calculator that way works too

Answer 12

actually hold on let me check your answer

Answer 13

so 1478.88 would be the answer?

Answer 14

ok i will wait :)

Answer 15

using the ratios i got, i got something close \(1483.4\)
probably different do to rounding

Answer 16

rounding with decimals can be somewhat tricky especially non terminating ones

Answer 17

Alright well, ima go with what I got bcuz the way i worked it out is more similar to what i was shown in the past ... and i weighted and rounded at the very end instead of rounding each input value individually

Answer 18

ima stick with the 1,79 (thats rounded to the nearest whole number like it says)

Answer 19

lol whatever floats your boat
at least you know to square the ratio to get the areas right?

Answer 20

*1,479

Answer 21

yes i did learn that !

Answer 22

ok good!