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Algebra 18 Online
OpenStudy (anonymous):

The figures above are similar. Find the missing length. Show your work.

OpenStudy (anonymous):

OpenStudy (anonymous):

i got this far and then got stuck so if anyone could help?!?!?! Length of the first rectangle = L1 Width of the first rectangle = W1 Length of second rectangle = L2 width of the second rectangle = W2 L1/W1=L2/W2

OpenStudy (phi):

yes. now replace the letters (variables) with the numbers they give you in the problem. can you do that ?

OpenStudy (anonymous):

i dont understand

OpenStudy (phi):

you say Length of the first rectangle = L1 what is the length of the first rectangle ?

OpenStudy (anonymous):

1?

OpenStudy (anonymous):

wait is it 2?

OpenStudy (phi):

are you looking at

OpenStudy (anonymous):

and the 2nd square four?

OpenStudy (anonymous):

im sorry im so bad at math

OpenStudy (phi):

I see |dw:1374251615085:dw|

OpenStudy (anonymous):

yes

OpenStudy (phi):

one of the sides is called the "length" normally the longer side what is length of the first figure ?

OpenStudy (anonymous):

5

OpenStudy (phi):

that means in L1/W1=L2/W2 replace the L1 (length of the first figure) with 5, like this 5/W1 = L2/W2 what is the width of the first figure ? (the width is the side that is not the length)

OpenStudy (anonymous):

Length of the first rectangle = L5 Width of the first rectangle = W3 Length of second rectangle = L3 width of the second rectangle = W2 ?

OpenStudy (phi):

yes, but without the letters. Just use the numbers you get Length of the first rectangle = 5 Width of the first rectangle = 3 Length of second rectangle = 3 the width of the 2nd figure is not a number. It is x (for "unknown") width of the second rectangle =x now use those in your equation L1/W1=L2/W2 can you replace L1 with 5 and W1 with 3 and L2 with 3 and W2 with x ?

OpenStudy (anonymous):

Length of the first rectangle = 5 Width of the first rectangle = 3 Length of second rectangle = 3 width of the second rectangle = x L1/W1=L2/W2

OpenStudy (anonymous):

?

OpenStudy (phi):

yes, but use the numbers in L1/W1=L2/W2

OpenStudy (anonymous):

ok so Length of the first rectangle = 5 Width of the first rectangle = 3 Length of second rectangle = 3 width of the second rectangle = x 3/5=3/x

OpenStudy (phi):

yes. except you have to be careful. the length of the 2nd figure is 3 (not x) so it should be \[ \frac{3}{5}= \frac{x}{3} \] to find x, multiply both sides by 3. can you do that ?

OpenStudy (phi):

in fact you should do it this way: L1/W1=L2/W2 L1 is 5 and W1 is 3 so it should be 5/3 = L2/W2 L2 is 3 and W2 is x, so it is 5/3 = 3/x to find x, you can cross multiply 5x = 9 then divide by 5 x= 9/5

OpenStudy (anonymous):

Length of the first rectangle = 5 Width of the first rectangle = 3 Length of second rectangle = 3 width of the second rectangle = x 5/3=3/2???????

OpenStudy (phi):

yes, except it is x not 2: 5/3=3/x

OpenStudy (anonymous):

im confused and i know its probably so easy

OpenStudy (phi):

Do you get the idea that you replace the "variables" L1, W1 , L2 and W2 with the numbers and the x ?

OpenStudy (anonymous):

ok so this is right? Length of the first rectangle = 5 Width of the first rectangle = 3 Length of second rectangle = 3 width of the second rectangle = x 5/3=3/x

OpenStudy (phi):

yes, that looks good. now you have to "solve" for x do you know how to "cross multiply" ?

OpenStudy (anonymous):

kindve

OpenStudy (anonymous):

but i have to go pick my son up from camp so i will be right back hopevully ur still on

OpenStudy (phi):

just send a message when you are back

OpenStudy (anonymous):

okie dokie im back

OpenStudy (phi):

you have \[ \frac{5}{3}=\frac{3}{x} \] cross multiply uses this rule: \[ \frac{a}{b} =\frac{c}{d} \\ad=bc \] you multiply the top left times the bottom right and set that equal to bottom left times top right use that rule for \[ \frac{5}{3}=\frac{3}{x} \]

OpenStudy (anonymous):

5/3=3/10 ?

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