Rectangle — The area equals 15 times the sum of its length and breadth. If length = 40 m, find the breadth.

Introduction / Context:
The statement “area = 15 times (length + breadth)” gives a linear equation in the unknown breadth when length is known. Solve it to find the missing side.

Given Data / Assumptions:

• A = 15(L + B)
• L = 40 m
• Rectangle area A = L * B

Concept / Approach:
Equate L * B to 15(L + B) and solve for B with L fixed at 40.

Step-by-Step Solution:
L * B = 15(L + B) ⇒ 40B = 15(40 + B)40B = 600 + 15B ⇒ 25B = 600 ⇒ B = 24 m

Verification / Alternative check:
Check: A = 40 * 24 = 960; 15(L + B) = 15(40 + 24) = 15 * 64 = 960 ✔

Why Other Options Are Wrong:
25, 28, 32, and 30 m do not satisfy 40B = 600 + 15B.

Common Pitfalls:
Distributing 15 incorrectly or mixing up A = L + B instead of A = L * B.

Final Answer:
24 m