1998 AJHSME Problems/Problem 6
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[hide]Problem 6
Dots are spaced one unit apart, horizontally and vertically. The number of square units enclosed by the polygon is
Solution 1
By inspection, you can notice that the triangle on the top row matches the hole in the bottom row.
This creates a box, which has area
Solution 2
We could take the area of each square.
Top-left: Top: Triangle with area Top-right: Left: Square with area Center: Square with area Right: Square with area Bottom-left: Square with area Bottom: Triangle with area Bottom-right: Square with area
Adding all of these together, we get or
See also
1998 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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All AJHSME/AMC 8 Problems and Solutions |