Next year, we’d like to grow our own tomatoes in a rectangular garden. To keep them safe from animals (and neighbours) we will need to fence in our tomato garden. We need to use exactly 242 square feet for tomato gardening. The north and south sides of the garden are largely protected by granite, so the fence can be shorter and costs only $2 a foot. The east and west sides are very open, will have to be twice as tall, and cost $4 a foot. What are the dimensions of the tomato garden with the least expensive fence?
Next year, we’d like to grow our own tomatoes in a rectangular garden. To keep them safe from animals (and neighbours) we will need to fence in our tomato garden. We need to use exactly 242 square feet for tomato gardening. The north and south sides of the garden are largely protected by granite, so the fence can be shorter and costs only $2 a foot. The east and west sides are very open, will have to be twice as tall, and cost $4 a foot. What are the dimensions of the tomato garden with the least expensive fence?
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
Related questions
Question
Next year, we’d like to grow our own tomatoes in a rectangular garden. To keep them safe from animals (and neighbours) we will need to fence in our tomato garden. We need to use exactly 242 square feet for tomato gardening. The north and south sides of the garden are largely protected by granite, so the fence can be shorter and costs only $2 a foot. The east and west sides are very open, will have to be twice as tall, and cost $4 a foot.
What are the dimensions of the tomato garden with the least expensive fence?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell