1955 AHSME Problems/Problem 14
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Problem 14
The length of rectangle is
% more than the side of square
. The width of the rectangle is
% less than the side of the square.
The ratio of the areas,
, is:
Solution
Let each of the square's sides be . The dimensions of the rectangle can be expressed as
and
. Therefore, the area of the rectangle is
, while the square has an area of
. The ratio of
can be defined as
, which ultimately leads to