A room is in the shape of a rectangle. The width of the room is 2 feet longer than two thirds the length. If the room is 33 feet long, what is the area?
A. 792 square feet
B. 429 square feet
C. 817 square feet
D. 761 square feet

B

Step-by-step explanation

:

yes

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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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