Question

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

The area of the smaller trapezoid is 17 m2

One side of the smaller trapezoid is 6m
One side of the larger trapezoid is 22m

Possible answers:

A) 484 m2
B) 229 m2
C) 36 m2
D) 15 m2

Thank you for your help!

Answer 1

without the rest of the material for the question, there isnt much i can see to do with this...

Answer 2

This is all of the material I am given for the question! which is likely why I'm asking.

Answer 3

no pictures to indicate what side is what then? ...hmmm

Answer 4

the whole problem including the image is attached.

Answer 5

see, I told you there was material missing ;) this is better

Answer 6

haha

Answer 7

i wonder if you can ration side/area with stuff.... let me see.

tri: base 6, h 4, area 12

tri base 12, h 8 area 48

does 6/12 = 12/48 doesnt look like it does it....

Answer 8

Area = (top+bottom)h/2

17 = (top+6)h/2

34 = toph +6h

34 - toph
-------- = 6 is a good start
h

Answer 9

I wish I knew what you are doing, I am mostly ignorant of all this

Answer 10

6n =22

n = 22/6 = 11/3

Area = 11/3(top + 6)h/2

Area = 11(top)h/6 + 22h/2

Area = (11(top)h + 66h)/6

I wish I knew what I was doing too, but I wont tell me lol

Answer 11

it aint d, thats fer sure

Answer 12

thats a good start!

Answer 13

Area = (11(top) + 66)h/6

we can prolly use the two equations to calibrate for a top or height

Answer 14

gonna have to write it on paper; keep track of it better...

Answer 15

Okay, sounds like a plan!

Answer 16

b 229

Answer 17

You did it! Are you pretty confidant? I have been learning how to do these types of problems in the meantime. Thanks!

Answer 18

(t+6)h
------ = 17 ; h and t dont really matter as long as they scale
2 so lets say h=1


t+6
--- = 17
2

t+6 = 34

t = 28 ; thats as good of a top as any other... so lets use it and scale the rest

Answer 19

scale 6 = 22

scale = 11/3

(11/3)(28+6) (1)(11/3)
-------------------- = A
2


308 66 11
---- + --- * --
3 3 3
---------------
2



3388 + 726
-----------
9
---------------
2



4114
----- = A = 228.6
18

Answer 20

aha!

Answer 21

theres prolly an easy way; but I tend to go for knuckle dragging hard lol

Answer 22

Haha! well thank you very much!

Answer 23

I just tried it out with h=3 to begine with and I get the same results in the end.... youre welcome :)

Answer 24

Awsome!