Jessica has four square tiles. Each of them has an area of 4 square inches. She placed them together and drew a pattern as shown at left. What is the area of the shaded part?
Puzzle provided by Noetic Learning Math Contest
Solution: 4 square inches.
If we only look at one of the square tiles:
The shaded area is equal to ¼ of the total area, which is 4 square inches. So the shaded area is 1 square inch. Together the pattern of tiles contains 4 shaded areas. The total shaded area is then 1 × 4 = 4 square inches.
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