If the area of a rectangle is 48 sq cm and its length is 3 times its breadth, find the length and breadth.

Step-by-step solution

1. Step 1: Let breadth be $b$ cm and length be $l=3b$ cm as given.
2. Step 2: Use area formula $Area=l\times b$. So $48=3b\times b=3b^2$.
3. Step 3: Solve for $b^2$: $b^2=\frac{48}{3}=16$.
4. Step 4: Take square root: $b=\sqrt{16}=4$ cm.
5. Step 5: Find length: $l=3b=3\times 4=12$ cm.
6. Step 6: Provide the dimensions as the answer.

Concept tested: Area of rectangle with given ratio

Published 1 October 2026 · How this solution was prepared and checked