What is the area of the shaded portion within the square?
Answer:
a. 156 m^2
b. 144 m^2
c. 84 m^2
d. 60 m^2
e. Not enough information to answer
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OpenStudy (anonymous):
cant see
OpenStudy (anonymous):
Where is the square... (:
OpenStudy (anonymous):
e
OpenStudy (anonymous):
idont know what happen to it
OpenStudy (anonymous):
Hahaha nice amit
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OpenStudy (anonymous):
What is the area of the shaded portion within the square?
OpenStudy (anonymous):
its not allowing it to show
OpenStudy (anonymous):
And you have to save and attach it.
OpenStudy (anonymous):
You have to save and attach it... ^_^
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Do you know how to find the area of a triangle?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Good. Can you find for me the area of either one of the two triangles inside the square?
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OpenStudy (anonymous):
would i multiply the 12 ans 13 together?
OpenStudy (anonymous):
if yes i got 162
OpenStudy (anonymous):
?
OpenStudy (anonymous):
That is the area of the square.
OpenStudy (anonymous):
so how would i find the area of the triangle?
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OpenStudy (anonymous):
Well, you should first use Pythagoras theorem to find the other side of the triangle, which would be \(\sqrt{13^2-12^2}=5\). Now the area of each triangle is \(1/2(12)(5)=30\).
OpenStudy (anonymous):
The area of the shaded portion is equal to the area of the square minus the area of the triangles. That's \(12^2-2(30)=84 m^2\)
OpenStudy (anonymous):
how do u get 5 from 13 2 and 12 2
OpenStudy (anonymous):
?
OpenStudy (anonymous):
Use Pythagoras theorem. We have a side of the triangle equal to \(12\) and the hypotenuse is \(12\), so the third side is \(\sqrt{13^2-12^2}=5\).
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OpenStudy (anonymous):
I meant the hypotenuse is \(13\).
OpenStudy (anonymous):
I'm still having a hard time understanding
OpenStudy (anonymous):
?
OpenStudy (anonymous):
hello anyone there
OpenStudy (anonymous):
remyred90 you there?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
did you get an answer?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
okay, give me the full question again. I will try to help.
OpenStudy (anonymous):
i understand the last stuff he wrote but i didnt get the last part
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OpenStudy (anonymous):
OpenStudy (anonymous):
I think that you don't have enough information. Wouldn't you need to have the lenght of the shaded area first?
OpenStudy (anonymous):
look at what the person that was helping me was writing and c if u understand plzz
OpenStudy (anonymous):
I see that the answer is 84. It makes sense.
OpenStudy (anonymous):
yea but how did he get 84
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OpenStudy (anonymous):
i got the part where he got 5 but afta that idk
OpenStudy (anonymous):
2 triangles times 30 (the area of each)=60, and 12 times 12 is 144. Subtract the 60 from the 144 and you get 84.
OpenStudy (anonymous):
ok let me try this plz give me time to understand before u leave me lol
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
thanx
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OpenStudy (anonymous):
where did the 30 ccum from?
OpenStudy (anonymous):
well, you use the pythagorem therom. a squared plus b squared equalls c squared.
OpenStudy (anonymous):
i really appreciate ur time
OpenStudy (anonymous):
and the area of a triangle = 1/2 times the base times the height of the triangle.
OpenStudy (anonymous):
No problem. Gotta go bell is ringing.
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