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Mathematics 20 Online
OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

let x be the side length of the square |dw:1421975347967:dw|

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 ?

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

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

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 |dw:1421975592259:dw|

OpenStudy (anonymous):

ok wait

jimthompson5910 (jim_thompson5910):

yes?

OpenStudy (anonymous):

Which arrangement shows , , , and in order from least to greatest? A. B. C. D.

jimthompson5910 (jim_thompson5910):

not all the numbers made it

OpenStudy (anonymous):

, , , and

jimthompson5910 (jim_thompson5910):

ghost numbers

OpenStudy (anonymous):

lol

jimthompson5910 (jim_thompson5910):

draw it out if you can

OpenStudy (anonymous):

k

OpenStudy (anonymous):

|dw:1421975832893:dw|

jimthompson5910 (jim_thompson5910):

thanks

jimthompson5910 (jim_thompson5910):

you can convert each number to decimal form

OpenStudy (anonymous):

k

jimthompson5910 (jim_thompson5910):

so you can compare

jimthompson5910 (jim_thompson5910):

example: 34/5 = 6.8

OpenStudy (anonymous):

k yes

jimthompson5910 (jim_thompson5910):

6 2/3 = 6 + 2/3 = ???

OpenStudy (anonymous):

ok

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