This table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths. A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12. a = b =

A 6 --_B 9___--

Step-by-step explanation:

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+

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