SOLUTION: One rectangle has dimensions that are double those of a second rectangle. Let A be the area of the larger rectangle. Which formula would necessarily give you the area of the smalle

Algebra ->  Rectangles -> SOLUTION: One rectangle has dimensions that are double those of a second rectangle. Let A be the area of the larger rectangle. Which formula would necessarily give you the area of the smalle      Log On


   

Question 825408: One rectangle has dimensions that are double those of a second rectangle. Let A be the area of the larger rectangle. Which formula would necessarily give you the area of the smaller rectangle, B?
A. b= a/8
B. b= a/4
C. b= 2a
D. b= 4a
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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small rectangle dimensions:
x = width
y = length
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small rectangle area:
b = xy
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large rectangle area:
a = 2x2y
a = 4xy
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area ratio:
b/a = xy/4xy
b/a = 1/4
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answer:
small rectangle area:
b/a = 1/4
b = (1/4)a
b = a/4
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