A vacant city lot is being turned into a neighborhood gardden. The neighbors want to fence a triangular section of the lot and plant fowers there. The longest side of the trianglular section is 7 feet shorter than twice the shortest side. The thrird side is 6 feet longer than the shortest side. The permeter is 59 feet. How long is each side?
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OpenStudy (anonymous):
Help?
myininaya (myininaya):
how can the longest side be shorter than another side?
myininaya (myininaya):
oh wait nvm
myininaya (myininaya):
it said twice the shorter k
myininaya (myininaya):
let's call the shortest side x
so the longest side=2x-7
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myininaya (myininaya):
third side=6+x
myininaya (myininaya):
do you understand so far?
OpenStudy (anonymous):
yes
myininaya (myininaya):
ok the perimeter is 59 feet
so
add all the sides=59
x+(2x-7)+(6+x)=59
solve this for x
myininaya (myininaya):
let me know what you get
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OpenStudy (anonymous):
4x+7=59?
OpenStudy (anonymous):
i mean 4x+13=59
myininaya (myininaya):
how did you get 13?
OpenStudy (anonymous):
x+2x+7+6+x=59
4x+13=59
myininaya (myininaya):
why is 7 positive?
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OpenStudy (anonymous):
4x-1=59
myininaya (myininaya):
ok gj so far
myininaya (myininaya):
so how do you solve for x?
OpenStudy (anonymous):
x=15
myininaya (myininaya):
:)
now it says to find all side
so what is the longest side= if x=15
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OpenStudy (anonymous):
2x-7?
myininaya (myininaya):
yes what is that if x=15
OpenStudy (anonymous):
23
myininaya (myininaya):
ok now one more side and we are done
the third side= what if x=15
OpenStudy (anonymous):
21
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myininaya (myininaya):
ok and what x represent again?
OpenStudy (anonymous):
\[(x) +(2x-7) +(x+6) = 59 \]
15, 23, 21
OpenStudy (anonymous):
x represents the shortest side
myininaya (myininaya):
gj phinx
OpenStudy (anonymous):
^^
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