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jmc

prealgebra senior

Problem

What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale.)
problem
Solution
Divide the square into smaller squares as shown. The shaded square is formed from half-squares, so its area is The ratio to is

Note: There are several other ways to divide the region to show this.
Final answer
\frac{1}{8}