The widths of two similar rectangles are 10 cm and 15 cm. What is the ratio of the perimeters? Of the areas?

A. 3 : 4 and 9 : 16

B. 3 : 4 and 4 : 9

C. 2 : 3 and 9 : 16

D. 2 : 3 and 4 : 9

The answer for the question shown above is the las option, which is: D. 2:3 and 4:9.

The explanation is shown below:

1. You have that widths of the two similar rectangles are 10 cm and 15 cm. Therefore:

ratio=10:15

ratio=2:3

2 - So, the ratio of the perimeter is:

ratio of the perimeter = 2:3

3 - The ratio of the areas is:

ratio of the areas=2²:3²

ratio of the areas=4:9