Aizhalee
  • Aizhalee
(Fan and Medal will be given)! Help with Area Find the area of the image below:
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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Aizhalee
  • Aizhalee
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Michele_Laino
  • Michele_Laino
hint: the area of your geometrical shape, is given by the sum of the areas of these triangles:
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Aizhalee
  • Aizhalee
so what exactly do I do ? Im not too well with this benchmark D: .

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Michele_Laino
  • Michele_Laino
we have: area of triangle ABE: \[A = \frac{{BE \times AK}}{2} = \frac{{8 \times 5}}{2} = ...\]
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Aizhalee
  • Aizhalee
so 8 * 5 = 40 an d 40 divided by 2 is 20 .
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
area of triangle CDE: \[A = \frac{{CE \times DK}}{2} = \frac{{5 \times 4}}{2} = ...\]
Aizhalee
  • Aizhalee
5 * 4 equals 20 and 20 divded by 2 is 10
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
finally: area of triangle CBE: \[A = \frac{{BE \times CE}}{2} = \frac{{8 \times 5}}{2} = ...\]
Aizhalee
  • Aizhalee
8*5 equals 40 again divided by two is 20 :D
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
so total area is: 20+10+20=...
Aizhalee
  • Aizhalee
50
Michele_Laino
  • Michele_Laino
yes! nevertheless that answer is not an option of yours
Aizhalee
  • Aizhalee
wow , :/
Michele_Laino
  • Michele_Laino
my reasoning is right, I don't understand maybe is there a scale factor, for your drawing?
Michele_Laino
  • Michele_Laino
namely, how many units are the area of the littlest square, of your drawing?
Aizhalee
  • Aizhalee
can u help me find the perimeter for it please michele , D: its not area , its perimeter. sorry ive made a mistake
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
then we have to apply the theorem of Pitagora repeatedly
Michele_Laino
  • Michele_Laino
so we can write this: \[BC = \sqrt {C{E^2} + B{E^2}} = \sqrt {{5^2} + {8^2}} = \sqrt {25 + 64} = ...?\]
Aizhalee
  • Aizhalee
ok is that is 89
Michele_Laino
  • Michele_Laino
yes! and what is:sqrt(89)=...?
Aizhalee
  • Aizhalee
9.433
Michele_Laino
  • Michele_Laino
that's right!
Michele_Laino
  • Michele_Laino
now we have: \[AB = \sqrt {A{H^2} + B{H^2}} = \sqrt {{5^2} + {6^2}} = \sqrt {25 + 36} = ...?\]
Michele_Laino
  • Michele_Laino
1 Attachment
Aizhalee
  • Aizhalee
its 61
Michele_Laino
  • Michele_Laino
and what is: sqrt(61)=...?
Aizhalee
  • Aizhalee
the square root of 61is 7.81
Michele_Laino
  • Michele_Laino
perfect!
Aizhalee
  • Aizhalee
:D
Michele_Laino
  • Michele_Laino
now we have: \[AE = \sqrt {A{H^2} + E{H^2}} = \sqrt {{5^2} + {2^2}} = \sqrt {25 + 4} = ...?\]
Aizhalee
  • Aizhalee
25 plus 4 is 29 and the square root of 29 is 5.38
Michele_Laino
  • Michele_Laino
yes! correct!
Michele_Laino
  • Michele_Laino
next we have: \[ED = \sqrt {K{D^2} + E{K^2}} = \sqrt {{4^2} + {2^2}} = \sqrt {16 + 4} = ...?\]
Aizhalee
  • Aizhalee
16 + 4 = 20 and square root of 20 is 4.47
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
finally, we have: \[CD = \sqrt {K{D^2} + C{K^2}} = \sqrt {{4^2} + {3^2}} = \sqrt {16 + 9} = ...?\]
Aizhalee
  • Aizhalee
5 :D
Michele_Laino
  • Michele_Laino
perfect!
Michele_Laino
  • Michele_Laino
so the requested perimeter, is: BC+AB+AE+ED+CD= =9.43+7.81+5.39+4.47+5=...?
Aizhalee
  • Aizhalee
32.1 :D yipee
Michele_Laino
  • Michele_Laino
that's right! :)
Aizhalee
  • Aizhalee
Thank you sooo much :D i will be adding these into my notes thanks a lot I appreciate it ! God bless.
Michele_Laino
  • Michele_Laino
Thanks!! :) :)
Aizhalee
  • Aizhalee
Yw :)
Michele_Laino
  • Michele_Laino
:)

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