SOLUTION: a rectangle is 12 feet long and 8 feet wide. every dimension of the rectangle is multiplied by three fourths to form a similar rectangle. how is the ratio of the areas related to t

Algebra ->  Rectangles -> SOLUTION: a rectangle is 12 feet long and 8 feet wide. every dimension of the rectangle is multiplied by three fourths to form a similar rectangle. how is the ratio of the areas related to t      Log On


   

Question 988723: a rectangle is 12 feet long and 8 feet wide. every dimension of the rectangle is multiplied by three fourths to form a similar rectangle. how is the ratio of the areas related to the ratio of the corresponding sides?
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Starting rectangle 12%2A8, area.
New rectangle, 12%283%2F4%29%2A8%283%2F4%29=12%2A8%2A%283%2F4%29%5E2, area.

Notice the given factor applied to each dimension was 3%2F4, and starting area was S=12%2A8. New area compared to start area ratio is %28S%283%2F4%29%5E2%29%2FS, or highlight%289%2F16%29.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!








John

My calculator said it, I believe it, that settles it