Let's summarize the facts:
the tape is 75 feet long
the bedroom is 12 feet by 14 feet.
1. Tell how you can critique Jason’s reasoning.
If you want to Critique Jason's reasoning, you could a) ask yourself the same questions that Jason did and see if you would come with the same answers and used the same analysis or b) analyse Jason's answer to see if he did a mistake or missed an important detail and made a thought mistake
2. Critique Jason’s reasoning
I will use the option b from above:
?
Jason first multiplied 12 x 14 = 168. This multiplication is correct, but what did he get? He needed to get the perimeter of the bedroom because it was only the wallpaper border, not the wallpaper itself - so getting the perimeter was needed, but this we get by the formula (2* *(length width), not length* width - as Jason did.
So, Jason made a mistake here! his actual answer should be 2*(12+14) =2*26=52, so the tape of 75 feet would have been enough!
3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another’s room. Explain why his reasoning to use an overestimate does or does not make sense
Using an overestimate is often a good idea- in case some of the tape gets damaged, he will have some left. However, since his calculations are wrong by a lot (he multiplies rather than adds and multiplies by 2), his overestimate will be a lot higher than would be practical - he would be left with a lot of leftovers and spend too much money. So his reasoning does not make sense