Question

The sides of a quadrilateral are 3,4,5 and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
9
13.5
27

Answer 1

@ganeshie8

Answer 2

@driftracer305

Answer 3

@satellite73

Answer 4

@Zarkon

Answer 5

if area is \(\large k\) times greater, then the side will be \(\large \sqrt{k}\) times greater

Answer 6

So the shortest side that we know is 3 so 3k

Answer 7

So 27

Answer 8

area goes with the square
if the area is 9 times as great then each side is 3 times as large

Answer 9

Oh ok thanks for taking the time to help me

Answer 10

a simple example would be a square of side say 5
the area would be 25
then \(9\times 25= 225\) and if a square had an area 225 then the side would be length \(3\times 5=15\)

Answer 11

hope it is clear
yw

Answer 12

Yeah that helped, do you mind helping me with one more

Answer 13

i kind of suck at geometry but i could try

Answer 14

if i can't help i will just say so

Answer 15

Ok thanks. A circle has a radius of 6 in. The inscribed equilateral triangle will have an area of?

Answer 16

i think it is
\[\frac{\sqrt3}{4}r^2\]right?

Answer 17

unless you need a proof that should work

Answer 18

Hmmidk for sure I'll try that out

Answer 19

wait hold the phone that is wrong
it is three times that

Answer 20

I just wants the answer that is two digits times the square root of one for the answer

Answer 21

It*

Answer 22

damn typo

\[\frac{\sqrt3}{4}\times 6^2\times 3\]

Answer 23

Ahh ok thanks, too many formula to memorize and I'm having to teach this to myself

Answer 24

better know as \(27\sqrt3\)

Answer 25

i could explain it but not without trig

Answer 26

Ok thanks for the help, I appreciate it

Answer 27

yw