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?

Expert Solution

milcah answered 2 years ago

Fencing a Farmer’s Field As a farmer, suppose you want to fence off a rectangular field that borders a river.

Fencing a Farmer’s Field As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area if you have 2000 feet of fencing. Remember that a square maximizes area, so use a square in your work. - Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of the largest possible field. -...

As a farmer, suppose you want to fence off a rectangular field that borders a river....

As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 1200 feet of fencing. Remember that a square maximizes area, so use a square in your work. Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field. Find the function that models the area...

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...

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?

As a property owner, you want to fence a garden which is adjacent to a road....

As a property owner, you want to fence a garden which is adjacent to a road. The fencing next to the road must be stronger and cost $6 per foot. The fencing on the other sides cost $4 per foot. The area of garden is 2400 square feet. 1. Draw several diagrams to express the situation and calculate the cost for each configuration, and then estimate the dimension of minimum cost. 2. Find the function that represents the cost in...

A projector screen is 3.5 ft tall and 6 ft wide. You want to project a...

A projector screen is 3.5 ft tall and 6 ft wide. You want to project a photo that is 4 in tall by 6 in wide. What are the dimensions of the image of the largest photo that will fit on the screen?

Farmer Pickles wants Bob to paint the circular fence which encloses his sunflower field. If the...

Farmer Pickles wants Bob to paint the circular fence which encloses his sunflower field. If the parametric equations x = 18 cos(θ) and y = 18 sin(θ) describe the base of the fence (in yards) and the height of the fence is given by the equation h(x, y) = 12 + (2x − y)/6, then how many gallons of paint with Bob need to complete the project. Assume that one gallon of paint covers three hundred square feet of fence

Mandeep’s parents want to build a rectangular ice rink in the family’s back yard with an...

Mandeep’s parents want to build a rectangular ice rink in the family’s back yard with an area of 200m2 What are the dimensions that will minimize the amount of material required to build the boards around the rink? If the material for the boards can be bought for $1.75 a linear foot, how much will it cost to build the boards? Trevor was given 15 square concrete stones with a 1 ft. side length. He decides to make a slab...

1. A house is 42.0 ft long and 38.0 ft wide and has 8.0-ft-high ceilings. What...

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A filled water bed has the dimensions 8.0 ft x 7.0 ft x 0.75 ft. Determine...

A filled water bed has the dimensions 8.0 ft x 7.0 ft x 0.75 ft. Determine the mass of water, in kilograms, needed to fill the bed. Density of water = 1.00 g/cm^3.

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