The chart below shows how many cup of lemonade marcia sold each hour she had her lemonade stand set up 1st hour 6 2nd hour 5 3rd hour 11 4th hour 15 marcie charges 0.35 cents per cup of lemonade. She made a total cups of lemonade did she sell in the 5th hour?

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

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step-by-step explanation:

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