A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an additional fence dividing it down the middle. The fence in the middle costs USD 40/meter, while the fence on the sides costs USD 25/meter. Determine the playground's dimensions so that the total cost of the fencing material is as low as possible. (Optimization)
A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an additional fence dividing it down the middle. The fence in the middle costs USD 40/meter, while the fence on the sides costs USD 25/meter. Determine the playground's dimensions so that the total cost of the fencing material is as low as possible. (Optimization)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section: Chapter Questions
Problem 8SGR
Related questions
Question
A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an additional fence dividing it down the middle. The fence in the middle costs USD 40/meter, while the fence on the sides costs USD 25/meter. Determine the playground's dimensions so that the total cost of the fencing material is as low as possible. (Optimization)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill