Question

Quinn used a scale drawing to build a soccer field near his school. Initially, he wanted the field to be 28 yards long and 17.5 yards wide. He decided to change the length of the field to 36 yards. If the width is to be changed by the same scale factor, what is the new width of the field? Express your answer to the nearest tenth.

Answer 1

The answer you want is 22.5 yards. You need to divide 36 by 28 and multiply that by 17.5

Answer 2

For this case, the first thing to do is find the scale factor.
 We have then that for the length the scale factor is:
 $k = 36/28 = 18/14 = 9/7$
 Then, as the scale factor is the same, then the new width is given by:
 $w = (9/7) * (17.5) w = 22.5 yards$
 Answer:
 The new width of the field is:
 w = 22.5 yards