Question

In pete's blueprint the length of a side wall is 16 inches. find the actual length of the wall. 2. the back wall of the house is 33 feet long. what is the length of the back wall in the blueprint? 3. check for reasonableness how do you know your answer to 2 is reasonable?

Answer 1

The complete question can be found in the attached file

 Find the number of feet represented  by  1 inch In pete's blueprint (scale factor)

4 inches---------- > 3 feet=4/3 in/ft

 1)    4 inches (pete's blueprint )------------ >3 feet (actual length)

16 inches----------------------------------- > X

X=16*3/4=12 feet

The actual length of the side wall is 12 feet

2)    4 inches (pete's blueprint )------------ >3 feet (actual length)

X------------------------------------------- > 33 feet long

X=33*4/3=44 inches

The length of the back wall in the blueprint is 44 inches

 3)    How do you know your answer to 2 is reasonable?

We know that scale factor is 4/3 in/ft

I proceed to check it

length of the back wall in the blueprint is --------------- >44 inches

length of the back wall in the actual house --------------- >33 feet

 44/33=4/3----------------- > is ok------- > the scale factor is correct

The answer is reasonable