Gabylovesyou
  • Gabylovesyou
FInd the perimeter of the image
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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Gabylovesyou
  • Gabylovesyou
37 units 38 units 39 units 40 units
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Gabylovesyou
  • Gabylovesyou
@ash2326 @phi
ganeshie8
  • ganeshie8
to find the perimeter of given shape, you need to find out sides first

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ganeshie8
  • ganeshie8
perimeter = sum of all sides
ganeshie8
  • ganeshie8
know how to find the length of sides on coordinate plane ?
Gabylovesyou
  • Gabylovesyou
distance formula ?
ganeshie8
  • ganeshie8
yes, but for that u need to figure out coordinates of points and plug them in the formula... which is a pain... and u need to do it for 5 times... since u have 5 sides
ganeshie8
  • ganeshie8
there is a simpler way to do this, which uses the distance formula in disguise...
Gabylovesyou
  • Gabylovesyou
ok..
Gabylovesyou
  • Gabylovesyou
whats the simpler way ?
ganeshie8
  • ganeshie8
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ganeshie8
  • ganeshie8
use pythagorean theorem : that red side = \(\sqrt{2^2+6^2} = \sqrt{40}\)
ganeshie8
  • ganeshie8
this is exact same as distance formula, but this is felt simple because, you're not plugging in the coordinates... instead you're just counting the number of grids...
ganeshie8
  • ganeshie8
use whichever u feel is easy...
Gabylovesyou
  • Gabylovesyou
how did u solve that ^ ... like how did u get 40 ?
ganeshie8
  • ganeshie8
the goal is to find the length of all sides and add up
Gabylovesyou
  • Gabylovesyou
ok..
ganeshie8
  • ganeshie8
did u get how I got : red side = \(\sqrt{2^2+6^2} \)
ganeshie8
  • ganeshie8
?
Gabylovesyou
  • Gabylovesyou
i know how u got the 2 and the 6... just not the 40 ...
ganeshie8
  • ganeshie8
oh cool :) ive just skipped a step : red side = \(\sqrt{2^2+6^2} = \sqrt{4+36} = ?\)
Gabylovesyou
  • Gabylovesyou
ohhh ok
ganeshie8
  • ganeshie8
find the lengths of remaining sides in any way u wish, and add them all up
Gabylovesyou
  • Gabylovesyou
for pt it would be 4^2 + 10^2
Gabylovesyou
  • Gabylovesyou
which is 116
ganeshie8
  • ganeshie8
Yes ! dont forget the sqrt
Gabylovesyou
  • Gabylovesyou
ok...
ganeshie8
  • ganeshie8
\(PT^2 = 4^2 + 10^2\) \(PT = \sqrt{4^2 + 10^2} = \sqrt{116}\)
Gabylovesyou
  • Gabylovesyou
TS is 7
Gabylovesyou
  • Gabylovesyou
how do i do SR O.o
ganeshie8
  • ganeshie8
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Gabylovesyou
  • Gabylovesyou
50 ok..
ganeshie8
  • ganeshie8
*sqrt...
Gabylovesyou
  • Gabylovesyou
right... lol and then the last side is sqrt 61 ?
Gabylovesyou
  • Gabylovesyou
do i add them all ?
ganeshie8
  • ganeshie8
yup ! perimeter = length around a shape = sum of all sides
Gabylovesyou
  • Gabylovesyou
sqrt 274
Gabylovesyou
  • Gabylovesyou
?
ganeshie8
  • ganeshie8
lol no
ganeshie8
  • ganeshie8
you cannot add radicals like that
ganeshie8
  • ganeshie8
\(\large \sqrt{a} + \sqrt{b} + \sqrt{c} ~ \ne ~ \sqrt{a + b+ c}\)
ganeshie8
  • ganeshie8
http://www.wolframalpha.com/input/?i=sqrt%282%5E2%2B6%5E2%29+%2B+sqrt%284%5E2%2B10%5E2%29+%2B+7+%2B+sqrt%281%5E2%2B7%5E2%29+%2B+sqrt%286%5E2+%2B+5%5E2%29
Gabylovesyou
  • Gabylovesyou
hm i got 60 ;/
ganeshie8
  • ganeshie8
You got : \(QP = \sqrt{40}\) \(PT = \sqrt{116}\) \(TS = 7\) \(SR = \sqrt{50}\) \(RQ = \sqrt{61}\)
ganeshie8
  • ganeshie8
right ?
Gabylovesyou
  • Gabylovesyou
yes
ganeshie8
  • ganeshie8
plug each sqrt in ur calcualtor and add them all
ganeshie8
  • ganeshie8
\(QP = \sqrt{40} = \color{red}{6.32}\) \(PT = \sqrt{116} = \color{red}{10.77}\) \(TS = 7 = \color{red}{7}\) \(SR = \sqrt{50} = \color{red}{7.07}\) \(RQ = \sqrt{61} = \color{red}{7.81}\) --------------------------------------- perimeter = \(\color{Red}{?}\)
Gabylovesyou
  • Gabylovesyou
38. 97
ganeshie8
  • ganeshie8
wolfram says the same : http://www.wolframalpha.com/input/?i=sqrt%2840%29+%2B+sqrt%28116%29+%2B+7+%2B+sqrt%2850%29+%2B+sqrt%2861%29
Gabylovesyou
  • Gabylovesyou
so should i put 39 ?
Gabylovesyou
  • Gabylovesyou
or try it the long way to double check
ganeshie8
  • ganeshie8
rounding it becomes : \(38.97 \approx 39\)
ganeshie8
  • ganeshie8
Nope, both are one and same... you may try for practice if u want maybe :)
Gabylovesyou
  • Gabylovesyou
okay :) thank you!
ganeshie8
  • ganeshie8
np :)

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