Pedro wishes to use 100ft of fencing to enclose a rectangular garden. Determine the maximum possible area in square feet of his garden.

Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: let the length of rectangle is l and width is bthenperimeter of…

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

A:

Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by…

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy

Q: A farmer has 2000 yards of fence to enclose a rectangular field. What are the dimensions of the…

A:

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

Q: A rectangular room is 22 meters longer than it is wide, and its perimeter is 2020 meters. Find the…

A: Please refer the attached image for complete solution. THANKYOU.

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: maximum area of the rectangle

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

A: In the given question the maximum capacity is asked of a dumpster of which dimensions are as follows…

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A: Given, The owner of a motel has 2000m of fencing,

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

A:

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: 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: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: First make the equation of area in terms of breath or length then diffrenciate for maximum area .

Q: Find the dimensions of a rectangle with perimeter 80 m whose area is as large as possible.

A:

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: You have 40 feet of fence to enclose a rectangular garden with two subdivisions. What is the maximum…

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

A:

Q: A rectangular dog pen is constructed using a barn wall as one side 66 meters  of fencing for the…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

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: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

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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: What is the maximum area that can be completed with 240 feet of fencing? What are the dimensions?

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A: Maximizing the surface.

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

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Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

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

A: Maximization problem

Q: Find the dimensions of a rectangle with perimeter 40 whose area is as large as possible. What is the…

A: Consider the rectangle with length x and width y, then 2x+2y=40x+y=20y=20-x...1 Here, the objective…

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

A:

Q: A rectangular room is 5 meters longer than it is wide, and it's perimeter is 22 meters. Find the…

A: Solution: The objective is to find the length and width of the rectangle

Q: A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than…

A: Area of rectangle

Q: Find the length and width of a rectangle that has 80 meters perimeter and a maximum area.

A:

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

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Q: The principal of a private elementary school wants to contruct a rectangular garden. She wants it to…

A: To Determine: The principal of a private elementary school wants to construct a rectangular garden.…

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…