1985 AHSME Problems/Problem 13
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Contents
[hide]Problem
Pegs are put in a board unit apart both horizontally and vertically. A rubber band is stretched over pegs as shown in the figure, forming a quadrilateral. Its area in square units is
Solution
Solution 1
We see that the number of interior points is and the number of boundary points is . Therefore, by Pick's Theorem, the area is .
Solution 2
Draw in the perimeter of the rectangle and label the points as shown. We have , , , , and . Therefore, .
See Also
1985 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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