\Delta ABC is similar to \Delta DEF. The perimeters of \Delta ABC and \Delta DEF are 40\text{ cm} and 30\text{ cm} respectively. What is the ratio of (BC+CA) to (EF+FD) equal to?

Explanation

For similar triangles, the ratio of corresponding sides or the sum of any corresponding sides is equal to the ratio of their perimeters. Therefore, \frac{BC+CA}{EF+FD} = \frac{40}{30} = 4:3.

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