A landscape architect would like to design a rectangular flower garden with an area of 160 square feet is surrounded by a brick border 5 feet wide on two sides and 2 feet wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders? What is the optimal area? 1 y X Garden ↑ y The length of the shorter side of the optimal garden is The length of the longer side of the optimal garden is X feet long. feet long.
A landscape architect would like to design a rectangular flower garden with an area of 160 square feet is surrounded by a brick border 5 feet wide on two sides and 2 feet wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders? What is the optimal area? 1 y X Garden ↑ y The length of the shorter side of the optimal garden is The length of the longer side of the optimal garden is X feet long. feet long.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 40CLR
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![A landscape architect would like to design a rectangular flower garden with an area of 160 square feet is
surrounded by a brick border 5 feet wide on two sides and 2 feet wide on the other two sides (see
figure). What dimensions of the garden minimize the combined area of the garden and borders? What is
the optimal area?
1 y
X
Garden
↑ y
The length of the shorter side of the optimal garden is
The optimal garden has an area of
The length of the longer side of the optimal garden is
feet squared.
X
feet long.
feet long.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1b92807-7689-451b-ba11-601feb8efc3d%2Fb5c42dba-692f-4fe9-9fec-7ca49a71a312%2Fswbucf_processed.png&w=3840&q=75)
Transcribed Image Text:A landscape architect would like to design a rectangular flower garden with an area of 160 square feet is
surrounded by a brick border 5 feet wide on two sides and 2 feet wide on the other two sides (see
figure). What dimensions of the garden minimize the combined area of the garden and borders? What is
the optimal area?
1 y
X
Garden
↑ y
The length of the shorter side of the optimal garden is
The optimal garden has an area of
The length of the longer side of the optimal garden is
feet squared.
X
feet long.
feet long.
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