1998 AJHSME Problems/Problem 13
Contents
[hide]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)
Solutions
Solution 1
We can divide the large square into quarters by diagonals.
Then, in the area of the big square, the little square would have the area.
Solution 2
Answer: C
Divide the square into 16 smaller squares as shown. The shaded square is formed from 4 half-squares, so its area is 2. The ratio 2 to 16 is 1/8.
See also
1998 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AJHSME/AMC 8 Problems and Solutions |
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