Gabylovesyou
FInd the perimeter of the image
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Gabylovesyou
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37 units
38 units
39 units
40 units
Gabylovesyou
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@ash2326 @phi
ganeshie8
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to find the perimeter of given shape, you need to find out sides first
ganeshie8
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perimeter = sum of all sides
ganeshie8
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know how to find the length of sides on coordinate plane ?
Gabylovesyou
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distance formula ?
ganeshie8
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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
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there is a simpler way to do this, which uses the distance formula in disguise...
Gabylovesyou
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ok..
Gabylovesyou
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whats the simpler way ?
ganeshie8
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ganeshie8
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use pythagorean theorem :
that red side = \(\sqrt{2^2+6^2} = \sqrt{40}\)
ganeshie8
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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
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use whichever u feel is easy...
Gabylovesyou
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how did u solve that ^ ... like how did u get 40 ?
ganeshie8
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the goal is to find the length of all sides and add up
Gabylovesyou
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ok..
ganeshie8
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did u get how I got :
red side = \(\sqrt{2^2+6^2} \)
ganeshie8
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?
Gabylovesyou
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i know how u got the 2 and the 6... just not the 40 ...
ganeshie8
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oh cool :) ive just skipped a step :
red side = \(\sqrt{2^2+6^2} = \sqrt{4+36} = ?\)
Gabylovesyou
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ohhh ok
ganeshie8
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find the lengths of remaining sides in any way u wish,
and add them all up
Gabylovesyou
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for pt it would be 4^2 + 10^2
Gabylovesyou
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which is 116
ganeshie8
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Yes ! dont forget the sqrt
Gabylovesyou
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ok...
ganeshie8
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\(PT^2 = 4^2 + 10^2\)
\(PT = \sqrt{4^2 + 10^2} = \sqrt{116}\)
Gabylovesyou
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TS is 7
Gabylovesyou
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how do i do SR O.o
ganeshie8
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Gabylovesyou
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50 ok..
ganeshie8
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*sqrt...
Gabylovesyou
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right... lol and then the last side is sqrt 61 ?
Gabylovesyou
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do i add them all ?
ganeshie8
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yup !
perimeter = length around a shape
= sum of all sides
Gabylovesyou
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sqrt 274
Gabylovesyou
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?
ganeshie8
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lol no
ganeshie8
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you cannot add radicals like that
ganeshie8
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\(\large \sqrt{a} + \sqrt{b} + \sqrt{c} ~ \ne ~ \sqrt{a + b+ c}\)
Gabylovesyou
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hm i got 60 ;/
ganeshie8
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You got :
\(QP = \sqrt{40}\)
\(PT = \sqrt{116}\)
\(TS = 7\)
\(SR = \sqrt{50}\)
\(RQ = \sqrt{61}\)
ganeshie8
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right ?
Gabylovesyou
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yes
ganeshie8
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plug each sqrt in ur calcualtor and add them all
ganeshie8
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\(QP = \sqrt{40} = \color{red}{6.32}\)
\(PT = \sqrt{116} = \color{red}{10.77}\)
\(TS = 7 = \color{red}{7}\)
\(SR = \sqrt{50} = \color{red}{7.07}\)
\(RQ = \sqrt{61} = \color{red}{7.81}\)
---------------------------------------
perimeter = \(\color{Red}{?}\)
Gabylovesyou
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38. 97
Gabylovesyou
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so should i put 39 ?
Gabylovesyou
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or try it the long way to double check
ganeshie8
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rounding it becomes :
\(38.97 \approx 39\)
ganeshie8
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Nope, both are one and same...
you may try for practice if u want maybe :)
Gabylovesyou
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okay :) thank you!
ganeshie8
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np :)