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dancechick76
The ratio of three measures of a triangle is 1/4:1/8:1/6. Its perimeter is 4.75 feet. Find the length of the longest side.
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First of all, we have to make the ratios have the same denominator. So we have to find the LCM of the three. Can you do that?
Okay. So tell me the ratios given the LCM being 24.
Okay, so now we'd divide 4.75 by 24, because those are the ratios given. Then we'd multiply that number by 6, because that is the longest side. Get it?
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Yep. That's what I got for the longest side.
My book says 2.2 feet...So the correct answer should be 2.2, I just don't understand how to get that.
if I add the x's together I would get 13/24x=4.75
Should I divide 4.75 by 24, then multiply by 13 to find x? then plug x into the fractions?
I apologize, my internet died for a moment there.
I'm not sure, because that was my answer, but you should try the method mayank suggested. Let me try that too.
Look at this: http://www.algebra.com/services/rendering/simplifier.mpl?expression=1%2F4%2Ax%2B1%2F8%2Ax%2B1%2F6%2Ax=4.75
Then, the largest fraction is 1/4, and if we divided x by 4, we'd get the answer listed in the book.
No problem. Sorry for being wrong the first time. :P