Question

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

Answer 1

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