The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 880 feet of fencing available, what is the maximum possible area of the corral?

Q: Find the length and width of a rectangle with a perimeter 160 and whose area is a maximum.

A:

Q: The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the…

A: Given :- The back of Dante's property is a creek. Dante would like to enclose a rectangular area,…

Q: A company making luggages have these requirements to follow. The length is 15 inches greater than…

A: According to question,Length is 15 inches greater than depth and the sum of length, width and depth…

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: The following solution is given below:

Q: A farmer buys 120 m of fence. He wants to make 2 cages of 4 rectangles with the same length for his…

A: Let x and y be the  length and width of cage respectively (equals to dimensions of rectangle) total…

Q: Hannah wants to enclose her rectabgle garden to keep animals out. one side of garden is against…

A: If x, y are length and width width of rectangle respectively then area of rectangle is xy. Length of…

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,800 feet of fencing…

A: This question is related to application of derivative.

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd…

A:

Q: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square…

A: The area of rectangle having length L and breadth B is given by Area=L×B and perimeter is calculated…

Q: According to postal regulations, a carton is classified as “oversized” if the sum of its height and…

A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of…

Q: Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18 meters…

A: let l be the lengthlet w be the widthThen l+2w=18⇒l=18-2wLet Area of the rectangular pig pen be…

Q: A wire 16 feet long has to be formed into a rectangle. What dimensions should the rectangle have to…

A: Given: Length of the wire = 16 feet Assumptions: Let x, y be the length and width of the rectangle…

Q: A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Maximum Area = 160652…

Q: Mang Toti has a rectangular lot with one side against the wall. If he has 160m of fencing materials,…

A:

Q: Under her cell phone plan, Morgan pays a flat cost of $54 per month and $5 per gigabyte, or part of…

A:

Q: The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what…

A: Given:The box (or cuboid) has the height 8 inches(i.e. h = 8 in.) and the perimeter of the top of…

Q: A farmer wants to fence a rectangular field and then divide it in half with a fence down the middle…

A:

Q: Helen has 28 m of fencing which she can use to surrounda pen for her pigs. What is the maximum area…

A:

Q: Suppose that a homeowner wants to create a rectangular enclosure for his pet turkey in his backyard…

A: It is given that, the rectangle has one side of enclosure and fencing on other 3 sides. A total of…

Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

A:

Q: Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and…

A: To find dimension of the rectangular box of maximum volume  Given sum of length, width and height…

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

Q: The perimeter of a rectangle is to be no greater than 80 centimeters and the width must be 10…

A: let length be x and width is given to be 10. Perimeter of a rectangle is defined as 2(length +…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let one side of area = x, other side = yLet extra fencing be parallel to sides of length y.So we…

Q: A piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

Q: Ricardo wants to cover this 5'' by 10'' by 8'' box with wrapping paper. What is the minimum number…

A: Given that Ricardo wants to cover this 5'' by 10'' by 8'' box with wrapping paper.

Q: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

Q: A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing…

A: Let the dimension of the each rectangular corral be, x m by y m.The perimeter of one rectangular…

Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

A:

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given that the perimeter of the rectangle is 200 feet.   Suppose that the length of the rectangle x…

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: At the Pizza Dude restaurant, a 12-in. pizza costs $5.40 to make, and the manager wants to make at…

A: Given: cost price of pizza=$5.40, profit earn by manager=$4.80 We know that selling priceS.P. of…

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A:

Q: When enclosing 3 sides, the maximum area for a given rectangular area is obtained by forming a…

A: Given:Length is twice the ?

Q: An 6 in x 10 in sheet of paper is to be folded into a box, with one side open, by cutting squares in…

A:

Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

A:

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480…

Q: The perimeter of a rectangle is to be no greater than 100 centimeters and the width must be 15…

A: Perimeter of rectangle = 2 ( length + width)  Given width = 15 cm  and  perimeter of a rectangle…

Q: A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it…

A: Here Area A=500000 square feet where, Area=LLenght×wwidth

Q: You have 200 feet of wire fencing, and you will only need to fence in three sides because the barn…

A: Let width=x and length= y  So, 2x+y=200 Or, y=200-2x

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

A:

Q: A farmer has 1,200 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A:

Q: You have 800 feet of fencing to make a pen for hogs. If you have a river on one side of your…

A: We have to make a pen for hogs with 800 feet of fencing. There is a river on one side of the…

Q: The base of a triangle measures 40 inches minus twice the measure of its height. For what measure of…

A: Let h is the height of the triangle Then, according to question  base=40-2h Then…

Q: A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide…

A:

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A: