Auston's office is 360 square feet. calculate the area of his office in square yards. a) 1080 square yards b) 120 square yards c) 60 square yards d) 40 square yards

Answer

D) 40 square yards

Explanation

360 square feet is equivalent to 40 square yards

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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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