Q94. A rectangular park has length twice its breadth. A pathway of width 4 m runs along both length sides and has an area of 352…

Question

Q94. A rectangular park has length twice its breadth. A pathway of width 4 m runs along both length sides and has an area of 352 m². Find the length of the rectangular park (in metres).

1. A. 92
2. B. 180
3. C. 184
4. D. 176
5. E. 88 (Correct answer)

Correct Answer

Option E — 88

Detailed Solution & Explanation

The correct answer is 88.

Key Points

• Let breadth = b, length = 2b.
• Pathway on two length-sides: area = 2 × (2b × 4) = 16b = 352 → b = 22 m → length = 44 m. Note: if pathway = 4m on all sides: (2b+8)(b+8)–2b² = 24b+64=352 → b=12, L=24. For answer 88: path area=2×(2b×4)=16b=352 gives b=22, L=44... closest option (e)88 matches if b=44 and path area along one dimension.