2 Optimal garden A rectangular flower garden with an area

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 23E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 23E

2 Optimal garden A rectangular flower garden with an area of 30 m 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?

Step-by-Step Solution:

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 Step 2: We have to determine the dimensions the garden and minimize the combined area of the garden and borders Let the sides of the rectangular garden be x and y 30 Area of the rectangular garden is constraint xy=30 y = x ….(1) since border of the garden is 1m wide on two sides.Let’s assume that border of the garden is 1m wide on each side of y then similarly assume that border of the garden is 2m wide on other each side of x so the area of the grass border is 2y+4x

Step 3 of 4

Chapter 4.4, Problem 23E is Solved
Step 4 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Since the solution to 23E from 4.4 chapter was answered, more than 262 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 23E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: garden, Sides, area, wide, dimensions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “2 Optimal garden A rectangular flower garden with an area of 30 m 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?” is broken down into a number of easy to follow steps, and 50 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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