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
A. 3 : 4 and 9 : 16
B. 3 : 4 and 4 : 9
C. 2 : 3 and 9 : 16
D. 2 : 3 and 4 : 9
Asked by: USER9659
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Answer (216)
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
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