A residential area will be built with a rectangular green space of two square meters, with paved walkways around the green room. The long-sided sidewalks of the green space are required to be three meters wide and the short side of the sidewalks four meters wide. How do we design the length and width of the green room to minimize the footprint of the paved walkways?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

A residential area will be built with a rectangular green space of two square meters, with paved walkways around the green room. The long-sided sidewalks of the green space are required to be three meters wide and the short side of the sidewalks four meters wide. How do we design the length and width of the green room to minimize the footprint of the paved walkways?

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