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Mathematics 15 Online
OpenStudy (anonymous):

Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH. What is the total length, in feet, of the actual walkway?

OpenStudy (anonymous):

OpenStudy (anonymous):

@radar

OpenStudy (anonymous):

@experimentX

OpenStudy (experimentx):

do you know proportions?

OpenStudy (anonymous):

yes

OpenStudy (experimentx):

yep ... make the sides of those two proportional ... and calculate length of all sides.

OpenStudy (experimentx):

those sides proportional ..

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

then do i add up the sides?

OpenStudy (experimentx):

yes

OpenStudy (anonymous):

can u help me on this question i am completely stumped

OpenStudy (anonymous):

A cylinder labeled X has a height of 18 inches and a radius of 21 inches. Another cylinder labeled Y has a height of 90 inches and a radius of 105 inches. The volume of cylinder Y is _______ times the volume of cylinder X.

OpenStudy (experimentx):

do you know how to find the volume of cylinder?

OpenStudy (anonymous):

no

OpenStudy (experimentx):

http://www.mathopenref.com/cylindervolume.html

OpenStudy (anonymous):

ok now i get the volumes of both cylinders and divide y by x

OpenStudy (experimentx):

yes ..

OpenStudy (anonymous):

thanks!

OpenStudy (experimentx):

yw

OpenStudy (radar):

Look at the side AB it is 6 in. Now note that BC and DC which is 3 in. is 1/2 of the AB side. Now this same proportion exist for the sides EF and HG and FG, they too will be 1/2 of EF or 36 feet each. EF = 72 ft HG = 36 ft FG = 36 ft This just leaves EH to be calculated. On the scale AB=1.5 AD so the same proportion will exist for similar sides HE and EF or 1.5 HE =72 so HE will be 72/1.5 or 48 ft. So the complete walkway would be 72 + 36 + 36 + 48 = 192 feet

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