Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing available. If no fencing is required along the​ street, find the maximum area of the parking lot.

Q: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight…

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Q: A standard elevator in a midrise building can hold a maximum weight of about 3 2/3 tons. Assuming an…

A: We first convert tons into pounds

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

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A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…

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: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. What are its dimensions?

A: Given: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. To Find: Dimensions…

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: A circle's or sphere's circumference is equal to 6.2832 times its radius. The circumference of the…

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.

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Q: A semi-elliptical goblet has a depth of 4 inches and its round opening has a width of 3 inches. It…

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Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

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Q: An open box is to be made from a 6 ft by 16 ft reetangulas card board by cutting out equaL squares…

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Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

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

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Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: A garden is to be laid out in a rectangular area and protected by a wire fence. What is the largest…

A: Given: We have to find the largest possible area of the rectangular garden, 100 running feet of the…

Q: The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what…

A: *As per the guidelines, only the first question answered. Please repost the remaining questions…

Q: You want to build a pen in the shape of a rectangle with two interior divisions. If you have 1000 m…

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Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: As an engineer, you need to design the cable supporting the bridge deck. An initial analysis shows…

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Q: A farmer has 3200 ft of fencing and wants to fence off a rectangular field that borders a straight…

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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: Find the length and width of a rectangle with perimeter 40 and maximum area. Length and width are?

A: Given: Perimeter of the rectangle is 40. To find: Length and width and maximum area of the…

Q: A farmer has 400 ft of fencing with which to enclose a rectangular field adjacent to anexisting…

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Q: A farmer wishes to enclose a rectangular region bordering a river, using 960 feet of fencing. What…

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Q: Maria can weed 1000 m2 of cogonal farm surface in 40 hours, while her brother, Bryant, can do the…

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Q: A rectangular dog kennel is to be constructed with 60 m of fencing alongside a house. The house will…

A: Let the length and width of the kernel be y and x respectively. Since only three sides of the kernel…

Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: Mr. Raymundo has enough materials to fence 90 meters. What are the dimensions of the rectangular lot…

A: Let the length and width of the rectangle be x and y. Then the perimeter of the rectangle is = 2x+y…

Q: Paula plans to build a rectangular closure for her dogs using 140m of fencing. What is the maximum…

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Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: Find the dimension of the rectangular corral producing the greatest enclosed area given 200 meters…

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Q: A 50cm board leans against a wall to make a shape of a right angled triangle. What is the max…

A: To find the max perimeter of the right angled triangle.

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula   surface Area of cone =  πrl + πr2

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

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Q: A farmer has 20 feet of fencing, and he wishes to make from it a rectangular pen for his pig Wilbur,…

A: Let, width= x, length = y So, total fence needed= 2x+y=20 feet  y= 20-2x

Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of…

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Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

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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.…

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Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

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Q: What is the length and width of a rectangle that has an area of 64 square ft and a minimum…

A: let length = x width = y   Area = 64 square ftxy=64y=64x

Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…