Question

(d) Mrs. Ferguson has a conversation on the phone with her best friend Judy, who stayed at the same hotel last year. They compare their rooms and wonder if they have the same size room. Judy says, “Our rooms have the same dimensions, so they must have the same area.” Mrs. Ferguson says, “Our rooms have the same area, so they must have the same dimensions.” Are both of their statements correct, are both incorrect, or is one correct and one incorrect? Explain your answer.

Answer 1

Rooms are 3 dimentional
they have volume
area times height=volume

if dimentions are the same, that means that the legnth, width, height are same, so therefor they have same area (Judy is correct)

if area area same, then the height could be different, so Mrs. Ferguson is wrong





Judy is correct and Mrs. Ferguson is wrong