H 3403 - E. Quinn ing 2024 5. (16 points) Your students have been learning to measure, and they invented a new unit called an iggy, named after your class pet Iggy the Iguana they used as a measurement tool. The unit of one Iggy is equivalent to 8 inches. a. The students measured the length of their tables and found that they were 8 Iggies long. How long are their tables in inches? Briefly explain how you could decide whether to multiply or divide using reasoning that an elementary-aged child could understand. b. How many square inches are in a "square Iggy?" Explain your reasoning, and draw and label a picture to help illustrate your reasoning. (A "square Iggy" is just like any other square unit, but based off of this newly invented unit of an "Iggy." It may help to imagine what the answer would be if I had asked about a square foot, and then adjust to the Iggy unit instead of the unit of feet.) c. The students measure a rectangular rug in the classroom, which they found to have an area of 36 square Iggies. When we say that the rug has an area of 36 square Iggies, what does that mean? In your explanation you should include some description of what the unit "square Iggies" means. d. What is the area of the rug in square inches? Explain your reasoning and draw and label a picture to help illustrate your reasoning. 6 of 9