Set up a proportion to solve for the missing measure ofthe original parallelogram.Which side of the original parallelogram corresponds tothe 6 ft side of the enlarged parallelogram? A. x ft B. 1/3 ft C. 8 ft D. 6ftWhat is the second step in solving the proportion? A. Add the ratios.B. Subtract the ratios. C. Cross multiply.D. Cross divide. What is the value of the missing measure? A. 1/4 B. 1/2 C. 4 D. 16

Answer:Part 1) Option A. x ftPart 2) Option C. Cross multiply.Part 3) Option A. 1/4Step-by-step explanation:Part 1) Which side of the original parallelogram corresponds to  the 6 ft side of the enlarged parallelogram?we know thatIf two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factorThe corresponding sides in this problem are1/3 ft and 8 ftx ft and 6 ftthereforeOption A. x ftPart 2) What is the second step in solving the proportion?step 1The proportion is equal to[tex]\frac{(1/3)}{8}=\frac{x}{6}[/tex]step 2Solve the proportionCross 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]