2025 AMC 8 Problems/Problem 1
Problem
The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire \(4\times4\) grid is covered by the star?
Solution 1
Each of the side triangles has base length and height
, so they all have area
. Each of the four corner squares has side length
and hence area
. Then the area of the shaded region is
. Since
, our answer is
. ~cxsmi