1a. Problem: Ruby claims the area of the given yellow shape is 11 squares. Step 1: Count the full squares inside the shape. Step 2: Identify partial squares and sum their fractional contributions. Step 3: Add full square count plus fractional parts. Step 4: Ruby counts 11 squares total including partial areas approximated to whole. Conclusion: If you sum exact areas including halves, the total equals 11, so Ruby is correct. 1b. Problem: Felix claims the blue shape area is 14 squares. Step 1: Count full squares covered by the shape. Step 2: Consider trapezoidal extensions as parts of squares. Step 3: Sum all full squares plus partials converted to decimals. Step 4: Total matches 14 squares covered. Conclusion: Felix’s count of 14 squares is correct. 2a. Problem: Alisha wants patterns with area between 15 and 20 squares, 6-8 blue squares, and no more than 8 yellow squares. Step 1: Choose an arrangement with 7 blue squares and 8 yellow squares. Step 2: Count the total squares; if within 15 to 20, valid. Step 3: Draw a second pattern with 6 blue and fewer yellow squares but still total in the range. Step 4: Both patterns satisfy all conditions. 2b. Problem: Ruby designs pattern with area 16-24 squares, at least 4 half squares, 8-10 blue squares, max 10 yellow squares. Step 1: Create a pattern using 9 blue squares, 10 yellow squares, and 4 half squares (count as 2 full squares). Step 2: Count total area and verify is between 16 and 24. Step 3: Create a second pattern with 8 blue squares, 9 yellow squares, and 5 half squares. Step 4: Check area fits criteria; both patterns valid. 3a. Problem: Star says only full squares need counting to find area. Step 1: Review shape composition includes partial squares. Step 2: Partial squares contribute to area and must be counted fractionally. Conclusion: Star is incorrect because partial squares affect total area. 3b. Problem: Lucas says multiply number of squares per row by number of rows for area. Step 1: Identify rows have varying numbers of squares due to shape irregularity. Step 2: Multiplying average per row by rows gives approximate but not exact area. Conclusion: Lucas is incorrect unless rows are filled uniformly. Final answers: 1a. Ruby is correct; area = 11 squares. 1b. Felix is correct; area = 14 squares. 2a. Two valid patterns with area 15-20, blue 6-8, yellow ≤8 squares. 2b. Two valid patterns with area 16-24, half squares ≥4, blue 8-10, yellow ≤10. 3a. Star incorrect; partial squares count in area. 3b. Lucas incorrect; row multiplication only works for uniform rows.