Rectangle vs Square — A rectangle of length 144 m has the same area as a square of side 84 m. Find the width of the rectangle.

Introduction / Context:
Equate areas of two shapes to solve an unknown side. Square area is side^2; rectangle area is length * width.

Given Data / Assumptions:

• Square side = 84 m ⇒ area = 84^2 = 7,056 m2
• Rectangle length = 144 m

Concept / Approach:
Let rectangle width be W. Then 144 * W = 7,056 ⇒ W = 7,056 / 144.

Step-by-Step Solution:
W = 7,056 / 144 = 49 m

Verification / Alternative check:
Area check: 144 * 49 = 7,056 ✔

Why Other Options Are Wrong:
7 m, 14 m, 35 m do not satisfy the product; “Cannot be determined” is incorrect because data are sufficient.

Common Pitfalls:
Arithmetic errors in division.

Final Answer:
49 m