36.3k views
12 votes
The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is 130 cm^2?

User Tyrelle
by
7.5k points

1 Answer

11 votes

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

16:9

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

User Mehgan
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories