Final answer:
To find a value of zz that would make two rectangles similar, compare the ratio of their corresponding sides. Write two proportions by setting the length ratios equal to each other and the width ratios equal to each other. Solve the proportions to find the value of zz.
Step-by-step explanation:
To find a value of zz that would make two rectangles similar, we need to compare the ratio of their corresponding sides. First, find the dimensions of the larger rectangle, which are given to be twice the dimensions of the smaller rectangle. For example, if the length of the smaller rectangle is 4 inches, the length of the larger rectangle would be 4 inches x 2 = 8 inches. Once you have the dimensions of both rectangles, you can write two proportions by setting the length ratios equal to each other and the width ratios equal to each other. Solving these proportions will give you the value of zz that makes the rectangles similar.