The lengths of two rectangles are in the ratio $5:9$ and their widths in the ratio $3:4$. What is the ratio of their areas?

Step-by-step solution

1. Area $propto$ length × width
2. Rectangle 1 area $\propto 5\times 3=15$
3. Rectangle 2 area $\propto 9\times 4=36$
4. Ratio $15:36$
5. Simplify by GCD 3 → $5:12$

Concept tested: Ratio of areas from side ratios

Published 16 October 2026 · How this solution was prepared and checked