Jim wants to build a rectangular parking lot along a busy street but only has 1,600 feet of fencing available. If no fencing is required along the street, fir maximum area of the parking lot. What is the maximum area of the parking lot? square feet

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A: We first convert tons into pounds

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

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

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

A: Given, Elevator can hold maximum weight of about   212 tons  Average adult weight of 139 pounds  We…

Q: Find the area of the largest rectangular field that can be enclosed with 600 m of fencing. Assume…

A: Perimeter without one side length =600m

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A: maximum area of the rectangle

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Q: What is the maximum capacity of a dumpster that is 8 meters long, 5 meters wide, and 4 meters high?

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Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

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

A: Given query is to find the dimensions of the aquarium for least amount of surface area.

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

A:

Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

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: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

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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…

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Q: A man wants to construct a rectangular enclosure around his model railroad. Only three sides must be…

A: Ans. Let the length of enclosure is x &             width of enclosure is y

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

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Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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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…

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

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: Find the maximum area that can be formed by a series of small pens next to a river with separate…

A: The area of a rectangle is the product of its length and breadth. For a parabola of the form…

Q: 1. find the dimenstors of a maximum Lwithout a top of capacity, 108 sq. cm. box who de Sunface area

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Q: 4.5 cm 6 cm 7.5 cm . - --

A: radius is 4.5 cm, height is 6 cm and slant height is 7.5 cm. The formula of volume of cone is,…

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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;

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Q: Engr. Lagrazon wants to build a farm using a fence but already have an existing wall. He has 60m of…

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Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose, L is the length and  W is the width of the rectangular field. Then  Area A=L×W But, area is…

Q: WHAT IS THe MAXIMUM AREA ENCLOSED BY A RECTANGLE HAVING PERIMETER OF 52 INCHES?

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Q: Your team has contracted to design and build a 500 ft³, square-based, open-top, rectangular steal…

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Q: Find the maximum volume in cm of a box with a square base 1200 cm? material. Square base = x² + 4xh

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Q: Suppose you ask a jeweller to form a gold in the shape of a sphere whose volume is * cm³. But you…

A: Intial volume of gold = 4π/3.

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…