Triangle A and triangle B are similar. The perimeter of trianlge A is 15 m and the perimeter of triangle B is 30 m. What is the ration of the perimeter of triangle B to the perimeter of triangle A?
A. 2:1
B. 3:1
C. 3:2
D. 5:3
Is the answer D?
A = 15 m = perimeter of triangle A
B = 30 m = perimeter of triangle B
Factors:
15 = 1, 3, 5, 15
30 = 1, 2, 3, 10, 15
15/15 = 1
30/15 = 2
Honestly, I would go with A. The perimeter is twice the number of 15 together. So, the perimeter of triangle B is 15 m bigger than the perimeter of triangle A.
I hope this helps? :)
Thank you I always get confused even when I try looking them up. :)
You're welcome, Callie. :)
At first, these problems confused me a bit. However, they got easier after a while after I started doing them today.
Yes, the answer is D. The ratio of the perimeter of triangle B to the perimeter of triangle A is 5:3. Here's how you can arrive at the answer:
To find the ratio of the perimeters, you need to divide the perimeter of triangle B by the perimeter of triangle A. In this case, the perimeter of triangle B is 30 m, and the perimeter of triangle A is 15 m.
So, you need to divide 30 by 15:
30 รท 15 = 2
The result is 2. This means that the perimeter of triangle B is twice the perimeter of triangle A.
However, the question asks for the ratio, not the actual values. So, you can express the ratio as 2:1.
Therefore, the correct answer is: A. 2:1.