Each side of the square measures 8sqrt(5) centimeters, and the area of the square
is 32x square centimeters. What is the value of x?
A. 5 B. 10 C. 20 D. 40
i think its b????
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OpenStudy (anonymous):
@StudyGurl14 could you help me again sorry i feel like a pain:D
OpenStudy (anonymous):
@Zarkon could you help me??
OpenStudy (anonymous):
@zepdrix could you help me?
zepdrix (zepdrix):
Hey there c:
OpenStudy (anonymous):
hi :D
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zepdrix (zepdrix):
\[\Large\rm A=\ell^2\]Since we're dealing with a square, the length is the same as the width, so our area is given by length times length, or length squared.
zepdrix (zepdrix):
Each side length is given by \(\Large\rm \ell =8\sqrt5\) and the area is given to be \(\Large\rm 32x\).
zepdrix (zepdrix):
So we have:\[\Large\rm A=(\ell)^2\]\[\Large\rm 32x=\left(8\sqrt5\right)^2\]
zepdrix (zepdrix):
\[\Large\rm 32x=64\cdot 5\]\[\Large\rm 32\cdot x=32\cdot10\]You came up with B?
zepdrix (zepdrix):
Yayyyy good job \c:/
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