Answer:
80 cm², 180 cm²
Step-by-step explanation:
The ratio of areas is the square of the ratio of perimeters:
2²:3² = 4:9
The sum of these "ratio units" is 4+9 = 13, corresponding to a sum of areas of 260 cm². Hence each "ratio unit" represents (260 cm²)/13 = 20 cm². Then the two areas are ...
• 4×20 cm² = 80 cm²
• 9×20 cm² = 180 cm²
