A little clarity, on paper.
Two small, verified puzzles. Divide each grid into rectangles: one number per rectangle, its area equal to that number, and every square covered.
Print this page from your browser. The answer sheet starts on a separate page.
Puzzle 1
Easy · 5 × 5
814223221
Puzzle 2
Easy · 6 × 6
15468624
Answer sheet
Each outlined rectangle contains exactly the number of squares shown by its clue.
Puzzle 1
814223221
Puzzle 2
15468624