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

Scale factor =

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 =

=

=

Therefore, by multiplying every side of the larger bag with the scale factor we can get the dimensions of the smaller one.

18/157

Step-by-step explanation

The key to solving this problem is to find the greatest common divisor of 72 and 628.

To find the greatest common divisor of 72 and 628, we list all of the factors of both numbers so we can compare the lists.

When we compared the factors of 72 (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72) and 628 (1, 2, 4, 157, 314, 628) we found that 4 is the largest factor that they have in common.

Since 4 is the largest common factor of 72 and 628, 4 is also the greatest common divisor of 72 and 628.

Now, we divide both the numerator and denominator in 72/628 by the greatest common divisor as follows:

Numerator: 72/4 = 18

Denominator: 628/4 = 157

Then, we put the numerator and denominator that we are left with back together to get our answer. 72/628 to the simplest form is: 18/157