You have 104 feet of fencing to enclose a rectangular region. What is the maximum area...
A veterinarian uses 1440 feet of chain-link fencing to enclose a rectangular region and to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides, as shown in the figure (a) Write the width w as a function of the length (b) Write the total area A as a function of I (c) Find the dimensions that produce the greatest enclosed area ft ft
A rancher has 5370 feet of fencing to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal parts. If no fencing is required along the river, find the length of the center partition that will yield the maximum area. Find the length of the side parallel to the river that will yield the maximum area. Find the maximum area.
1a) b) c) You have 120 yards of fencing and you need to enclose a rectangular area as shown. You want two pens to separate your goat and horse. To save money, you decide to use the corner of your house for two sides of the area so you only need fencing for the remaining two sides. You desire to enclose the largest possible area. Wall Wall x (So the fencing is represented by the red lines in the image.)...
A kennel owner has 164 ft of fencing to enclose a rectangular region. He wants to subdivide it into 3 sections of equal length. If the total area of the enclosed region is 576 square ft what are the dimensions.I know that the answer is 18 ft by 32 ft or 64 ft by 9ft but not how to get it
Diana has available 120 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle (b) For what value of W is the area largest? (c) What is the maximum area? (a) AM-L (b) The area is largest for W yards (c) The maximum area is square yards (Simplify your answer) implify your answer.) Enter your answer in each of the answer boxes
losing the most Area with a fence We need to enclose a rectangular field with a fence. We have 500 feet of fencing material and a building is on one side of the field and so won't need any fencing. Determine the dimensions of the field that will enclose the largest area. 1) a) For what value of X is the area largest? b) What is the maximum Area?
Oliver’s company needs to enclose a rectangular area of 5200 square feet on three sides with barbed wire fencing. Find the dimensions of that will minimize the amount of fencing required (thus minimizing building cost). Hint: minimizing the amount of fencing is equivalent to minimizing the perimeter, or distance around, the three sides of the enclosure.
A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one additional vertical segment (to separate the regions) are made up of fencing, as shown below. If the farmer has 162 feet of fencing, what are the dimensions of the region which enclose the maximal area?
- A farmer with 650 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
6. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals. One of the corrals is bordered on one side by a barn. a) What dimensions should be used so that the enclosed area will be a maximum? (Be sure to use calculus to validate that your solution is indeed a maximum.) A = 2X X = 2x./200-4X - 200 . d A dx - 2oo8X b) What is that maximum area? - 0 20%0-8x=0...