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2 Optimal garden A rectangular flower garden with an area
Chapter 7, Problem 23E(choose chapter or problem)
A rectangular flower garden with an area of \(30 \mathrm{~m}^{2}\) is surrounded by a grass border 1 m wide on two sides and 2 m wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders?
Questions & Answers
QUESTION:
A rectangular flower garden with an area of \(30 \mathrm{~m}^{2}\) is surrounded by a grass border 1 m wide on two sides and 2 m wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders?
ANSWER:
Solution Step 1: 2 We have given a rectangular flower with an area of 30m and is surrounded by a grass border 1 m wide on two sides and 2 m wide on the other two sides the diagram as shown below