One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

alright well the answers to your question is

2xy/9 hope this have a nice day : )

step-by-step explanation: