A square has a perimeter of 48 cm. If each side is increased by 2 cm, what is the new area of the square?

Step-by-step solution

1. Perimeter of a square is $4a$ where $a$ is side length.
2. Solve $4a=48$ to find $a=12$ cm.
3. Increase each side by 2 cm: new side $=12+2=14$ cm.
4. Area of a square is $a^2$. Compute $14^2=196$ cm².

Concept tested: Perimeter and area of a square

Published 7 October 2026 · How this solution was prepared and checked