Answer:
Part 1) Option A. x ft
Part 2) Option C. Cross multiply.
Part 3) Option A. 1/4
Step-by-step explanation:
Part 1) Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram?
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
The corresponding sides in this problem are
1/3 ft and 8 ft
x ft and 6 ft
therefore
Option A. x ft
Part 2) What is the second step in solving the proportion?
step 1
The proportion is equal to
[tex]\frac{(1/3)}{8}=\frac{x}{6}[/tex]
step 2
Solve the proportion
Cross multiply
[tex]\frac{1}{3} (6)=x(8)[/tex]
Part 3) What is the value of the missing measure?
Solve the proportion for x
[tex]\frac{1}{3} (6)=x(8)[/tex]
[tex]2=x(8)[/tex]
Divide by 8 both sides
[tex]\frac{2}{8}=x[/tex]
Simplify
[tex]x=\frac{1}{4}[/tex]
