Final answer:
Each piece of the 36-inch rope is 9 inches long after being cut into 4 equal parts. If using a 72-inch rope, each piece would be 18 inches long.
Step-by-step explanation:
If Mr. Perez has a 36-inch rope and cuts it into 4 equal parts, each piece of rope would be 9 inches long. We calculate this by dividing the total length of the rope by the number of parts: 36 inches ÷ 4 = 9 inches per piece. If Mr. Perez were to use twice this length of nylon rope, which would be 72 inches, and cut it into 4 equal parts, each piece would then be 18 inches long as calculated by 72 inches ÷ 4 = 18 inches per piece.