ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their areas is 65cm2.

16 cm², 49 cm²

Step-by-step explanation:

The area ratio is the square of the perimeter ratio, so is ...

4² : 7² = 16 : 49

As it happens the sum of these "ratio units" is 16 + 49 = 65, so each must represent 1 cm².

The areas of the triangles are 16 cm² and 49 cm².