Question: A rectangular garden is to be fenced along three sides, with a wall forming the fourth side. If the available fencing material is 60 meters,

 
  • A rectangular garden is to be fenced along three sides, with a wall forming the fourth side. If the available fencing material is 60 meters, what dimensions should the garden have to maximize its area? Provide the dimensions that yield the maximum area.
 

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given availiable fencing material 60m let l length and b breath perimeter P AreaA we know that pe... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of fencing. No fencing is to be placed along the rivers edge. The area of the plot is 180 square feet....

Q:

3. Identify the state or territory you are based in Victoria, Australia. Then, based on your state or territory, identify the following: The state or territory you identify must be the same...

Q:

A garden store prepares various grades of pine bark for mulch: nuggets (), mini-nuggets (X2), and chips (x3). The process requires pine bark, machine time, labor time, and storage space. The...

Q:

5 . 3 A rectangular garden is to be fenced on three sides ( two lengths and one width ) . The total fencing available is 6 0 meters. 5 . 3 . 1 Express the area of the garden as a function of its...

Q:

A rectangular garden is to be fenced on three sides with a total of 1 2 0 meters of fencing. One side of the garden will not be fenced as it borders a river. What are the dimensions of the garden...

Q:

QUESTION 1 A farmer has 500 yards of fencing and wishes to fence three sides of a rectangular field (the fourth side is along an existing stone wall, and needs no additional fencing). Find the...

Q:

Question 1 : A cylindrical tank i s being filled with water a t a rate o f 5 m 3 m inV h m m i n and the radius o f the tank i s 3 meters. Question 2 : A rectangular garden with length I and width w...

Q:

please explain Shen has 240 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown below, one of the...

Q:

v Ravi has 240 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown below, one of the sides has...

Q:

Please help not understanding Goran has 320 meters of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. As shown...

Q:

On March 1 of year 0, Judy was granted an incentive stock option (ISO) to purchase 50 shares of her employers stock for $10 per share. The FMV of the stock on the date of the grant was $12 per share....

Q:

If nine users are connected to a wireless network that offers a maximum data rate of 54 Mbit/s and a throughput of 45%, what is the typical average practical message data rate available for each...

Q:

Which of the following is the most appropriate regarding Inventory turnover? 1 . Inventory turnover increasks as average inventory decreases, while other things remain the same. . 2 . Inventory...

Q:

Use the methods of descriptive statistics presented in this chapter to summarize the data and comment on your findings. At a minimum, your report should include the following: 1. Descriptive...

Q:

Suppose that five years ago Cisco Systems sold a 15-year bond issue that had a $1,000 par value and a 7 percent coupon rate. Interest is paid semiannually. a. If the going interest rate has risen to...

Q:

Bateman Company produces helmets for motorcycle riders. Helmets are produced in batches according to model and size. Although the setup and production time vary for each model, the smallest lead time...

Q:

Fayard Corporation uses the weighted-average method in its process costing system. The Assembly Department started the month with 5,000 units in its beginning work in process inventory that were 70%...

Q:

This problem continues the Daniels Consulting situation from Problem PI7-40 of Chapter 17. Recall that Daniels allocated indirect costs to jobs based on a predetermined overhead allocation rate,...

Q:

A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes which are equidistant from one another. The magnitude of the masses in planes A, C and D are 50 kg, 40 kg and...

Q:

In Exercises 1732, use the graph of y = f(x) to graph each function g. g(x) = -f(x) T 321 4,0) 5-4-3-2-1 3- y IIII] y = f(x) 8:00:07 11 (2,2) 2 (0, 0) (4,0) 2 3 4 5 (-2,-2) 3- [IIIII|IIIII X

Q:

In Exercises 611, graph each hyperbola. Give the location of the foci and the equations of the asymptotes. y 2 - 4x 2 = 16

Q:

In Exercises 125, simplify the given expression or perform the indicated operation (and simplify, if possible), whichever is appropriate. (3x + 5)(4x - 7)

Q:

10.12 A pump (Peerless 8AE20G, Appendix C) with the 20-in impeller operates at 1775 rpm at maximum efficiency. It supplies the pipe-line shown in the figure. Determine the pipeline loss coefficient K...

Q:

10.11 Using the performance curves in Appendix C, select the smallest diameter Peerless 8AE20G pump operating at 1770 rpm that will deliver a flow of at least 2000 gpm for the pipeline shown....

Q:

10.8 Data from tests of a water suction pump operated at 2000 rpm with a 12-in.-diameter impeller are Plot the performance curves for this pump; include a curve of efficiency versus volume flow rate....