A 600 ft.^2 rectangular patch is to be enclosed by a fence and divided into two...

A 600 ft.^2 rectangular patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. what dimensions for the outer rectangle would will require the smallest total length of fence?

Expert Solution

milcah answered 2 years ago

A fence is to be built to enclose a rectangular area. The fence along three sides...

A fence is to be built to enclose a rectangular area. The fence along three sides is to be made of material that costs $5 per foot. The material for the fourth side costs $15 per foot.If $3,000 is available for the fencing, find the dimensions of the rectangle that will enclose the most area.

A builder wishes to fence in 72000 m 2 of land in a rectangular shape. For...

A builder wishes to fence in 72000 m 2 of land in a rectangular shape. For security reasons, the fence along the front part of the land will cost $ 25 per meter, while the fence for the other three sides will cost $ 11 per meter. How much of each type of fence should the builder buy to minimize the cost of the fence. What is the minimum cost? Use 4 decimal places for the fence amounts and round...

A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as...

A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the following figure. What should be the dimensions of each enclosure if the total area is to be a maximum? What is the area of each enclosure?Answer with an exact fraction or round to the nearest whole number. Each enclosure will have width (shortest side) of feet, length (longest side) of feet and area of square feet.

Problem 2: A 3 ft x 5 ft (B x L) rectangular footing is shown in...

Problem 2: A 3 ft x 5 ft (B x L) rectangular footing is shown in following figure. Using generalized bearing equation (with shape, depth and inclination factors), determine the allowable (safe) load that the foundation carry. Given: gamma = 115 lb/ft3 , c’= 1100 lb/ft2 , phi’ = 35°, Df =3.5 ft, Ground water table is located at 5 ft below ground level. Assume factor of safety = 3. Assume gammasat = 127.4 lb/ft

A trail crew is constructing a 500-ft electric fence. Fence posts are placed every 5 feet....

A trail crew is constructing a 500-ft electric fence. Fence posts are placed every 5 feet. The location is 8 miles from the parking lot, so they must hike in everything to the site. They want to have enough posts but not too many since they will have to carry them back out, Leave No Trace. What is the minimum number of posts they will need to hike in? What other consideration might the crew want to consider? Additionally, between...

Next, let’s suppose a rancher wants to fence off a rectangular shaped enclosure that has two...

Next, let’s suppose a rancher wants to fence off a rectangular shaped enclosure that has two identical sections. You can think of this as a rectangle with an additional fence dividing the rectangle in half. For the sake of this question, he wants that additional fence running North-South (up-down). He still has 2400 feet of fencing that he can use. What are the dimensions that gives the enclosure the most area? (a) Use the sketch of the pen below for...

2. A rancher has set out to fence off a new rectangular pasture for her horses....

2. A rancher has set out to fence off a new rectangular pasture for her horses. She has 1000 feet of fencing to fence off as large an area as possible. She wants to give the horses some water access, so she is building the pasture along a river, which will not need fencing. (a) Write a function, P(x), that describes the area of the pasture as a function of its length, x. (Don’t need Python for this.) (b) Plot...

A rectangular swimming pool is 5 ft deep, 10 ft wide, and 15 ft long. The...

A rectangular swimming pool is 5 ft deep, 10 ft wide, and 15 ft long. The pool is filled with water to 1 ft below the top. If the weight density of water is 62.4 lb / ft3 and if x = 0 corresponds to the bottom of the tank, then which of the following represents the work done (in ft-lb) in pumping all the water into a drain at the top edge of the pool?

A yard has 960 ft of fencing and the owners want to fence in their field...

A yard has 960 ft of fencing and the owners want to fence in their field into 6 sections for their garden. What is the maximum total area that can be fenced in?

A farmer wants to fence in a rectangular plot of land adjacent to the north wall...

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that...

Question