The area of a square is 144 square feet.
What is the length of one side of the square?
A.
288 feet
B.
72 feet
C.
12 feet
D.
36 feet
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jimthompson5910 (jim_thompson5910):
let x be the side length of the square
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jimthompson5910 (jim_thompson5910):
the area of this square is x times x
the area is given to be 144 square feet
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
so
x times x = 144
jimthompson5910 (jim_thompson5910):
what number multiplied by itself gives 144 ?
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OpenStudy (anonymous):
1
jimthompson5910 (jim_thompson5910):
1 times 1 is not 144
OpenStudy (anonymous):
oh i mean 1*144
jimthompson5910 (jim_thompson5910):
you need the same number multiplied by itself
jimthompson5910 (jim_thompson5910):
(some number) times (same number) = 144
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OpenStudy (anonymous):
12*12
OpenStudy (anonymous):
easy
jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
So the side length of this square is 12 feet
OpenStudy (anonymous):
i was thinking of something else
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OpenStudy (anonymous):
so c
OpenStudy (anonymous):
12
jimthompson5910 (jim_thompson5910):
Alternate Method:
x times x is the same as \(\large x^2\)
So we know that \(\large x^2=144\)
Use square roots to solve for x
\[\Large x^2 = 144\]
\[\Large \sqrt{x^2} = \sqrt{144}\]
\[\Large x = 12\]
So the side length of this square is 12 feet
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