the standard bag is 21in wide at the base. what scale factor is needed to make a bag with a base width of 7in

Answer:
Scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
In the figure attached, there are two bags. Larger one with the base of 21 in wide and another bag with a base of 7 in wide.
Since both the bags are similar in their shape.
Scale factor by which the smaller bag can be formed will be = [tex]\frac{\text{Base length of the smallerer bag}}{\text{Base length of the larger bag}}[/tex]
= [tex]\frac{7}{21}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, by multiplying every side of the larger bag with the scale factor [tex]\frac{1}{3}[/tex] we can get the dimensions of the smaller one.