Question

You are looking to spruce up your garden by making a rectangular enclosure using a wall...

You are looking to spruce up your garden by making a rectangular enclosure using a wall as one side and 120 meters of fencing for the other three sides. You want to find the dimensions of the rectangle so that you are maximizing the enclosed area.

(a) Draw and label a picture representing the problem.

(b) Write the objective function and the constraint. (You do not need to label which equation is which.)

(c) Write the area equation in terms of one variable.

(d) Find the dimensions that give the greatest area.

(e) What is the greatest area that can be enclosed?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Comment If any problem

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. You are looking to spruce up your garden by making a rectangular enclosure using a...
1. You are looking to spruce up your garden by making a rectangular enclosure using a wall as one side and 160 meters of fencing for the other three sides. You want to find the dimensions of the rectangle so that you are maximizing the enclosed area. (a) Draw and label a picture representing the problem (b) Write the objective function and the constraint. (You do not need to label which equation is which.) (c) Write the area equation in...
(Optimization Problem) You need to fence in a rectangular area for a garden outside of your...
(Optimization Problem) You need to fence in a rectangular area for a garden outside of your house. One side of the garden is against the wall and does not need a fence. You have 144 feet of fencing material. What are the dimensions of the largest area you can enclose? Draw and label the problem, identify the objective equation, list the constraints, and show all work.
Optimization problem: You need to fence in a rectangular area for a garden outside of your...
Optimization problem: You need to fence in a rectangular area for a garden outside of your house. One side of the garden is against the wall and does not need a fence. You have 114 feet of fencing material. What are the dimensions of the largest area you can enclose? Draw and label the problem, identify the objective equation, list the constraints, and show all work.
A rectangular enclosure will hold 3 different types of animals. Interior fences, parallel to one of...
A rectangular enclosure will hold 3 different types of animals. Interior fences, parallel to one of the sides, will subdivide the enclosure into 3 spaces. There are 1104 yards of fence to make the whole thing. Find the dimensions of the outer rectangle to maximize the total enclosed area.
Ben wants to build a rectangular enclosure for his animals. One side of the pen will...
Ben wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Ben has 450 feet of fencing, you can find the dimensions that maximize the area of the enclosure. A(W)=A(W)=     b) What width WW would maximize the area? WW =  ft Round to nearest half foot c) What is the maximum area? AA...
[5 pts] Find the dimensions of the rectangular garden producing the greatest enclosed area given 200...
[5 pts] Find the dimensions of the rectangular garden producing the greatest enclosed area given 200 feet of fencing. Answer has to be in MatLab codes
(Optimization Problem) You're building a fence in a rectangular area for a garden outside of your...
(Optimization Problem) You're building a fence in a rectangular area for a garden outside of your house. One side of the garden is up against the wall of your house and doesn't need fencing. You have 100 feet of fencing material. What are the dimensions of the largest area you can enclose? Show all work.
You need to build a rectangular enclosure divided into 3 equal rectangular sections, occupying a total...
You need to build a rectangular enclosure divided into 3 equal rectangular sections, occupying a total area of 200 square feet. The exterior fencing needs to be reinforced, and so costs $10 per linear foot, while the interior fencing only costs $2.50 per linear foot. Find the dimensions of the enclosure which five the minimum cost. be sure to justify that your solution is correct.
A rectangular field is to be enclosed on 4 sides with a fence with an area...
A rectangular field is to be enclosed on 4 sides with a fence with an area of 690 ft². Fencing costs $2 per foot for 2 opposite sides and $7 per foot for the other 2 sides. The equations for this question are: Constraint: xy = 690 Objective: Perimeter (Cost) = 14x + 4y Find the following: a) The dimensions that will minimize the cost. Round the dimensions to 1 decimal place. You may use the rounded dimension to find...
Find the largest possible rectangular area you can enclose with 420 meters of fencing. What is...
Find the largest possible rectangular area you can enclose with 420 meters of fencing. What is the significance of the dimensions of this enclosure, in relation to geometric shapes?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT