Which is the scale factor proportion for the enlargement shown?

A. 1/x = 2/6

Step-by-step explanation:

Given the sides of the smaller parallelogram:

1 in and 2 in

Given the sides of the bigger parallelogram:

x in and 6 in

By Comparison of similar sides

I.e. the slant sides (1in and x in) and the base (2in and 6in) of both parallelogram.

1/x = 2/6

Hence, the scale factor proportion for the enlargement is 1/x = 2/6.

Solving further to get the value of x

Simplify both sides

1/x = ⅓

Multiply both sides by x

1/x * x = ⅓ * x

1 = ⅓x

Multiply both sides by 3

1 * 3 = ⅓x * 3

3 = x

So x = 3 in