Difference between revisions of "2024 AMC 8 Problems/Problem 3"
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<math>\textbf{(A)}\ 42 \qquad \textbf{(B)}\ 45\qquad \textbf{(C)}\ 49\qquad \textbf{(D)}\ 50\qquad \textbf{(E)}\ 52</math> | <math>\textbf{(A)}\ 42 \qquad \textbf{(B)}\ 45\qquad \textbf{(C)}\ 49\qquad \textbf{(D)}\ 50\qquad \textbf{(E)}\ 52</math> | ||
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==Solution 1== | ==Solution 1== |
Revision as of 12:27, 26 January 2024
Contents
[hide]Problem 3
Four squares of side length and are arranged in increasing size order so that their left edges and bottom edges align. The squares alternate in color white-gray-white-gray, respectively, as shown in the figure. What is the area of the visible gray region in square units?
Solution 1
We can simplify this expression into . Now, taking the common denominator, we get
~Dreamer1297
Solution 2
We convert each of the fractions to . After adding up the values, we get .
-ILoveMath31415926535