A rectangular is constructed with its base on the diameter of a semicircle with the radius of 6 feet and its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Let the length of the rock garden = x meters breadth of the rock garden = y Fencing available = 34…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: A closed cardboard box is designed to hold a volume of 288 cm3 . The length is 3 cm and the width x…

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Q: A rectangle is bounded by the x−axis and y−axis and the graph of y=(6-x) / 2. What length and width…

A: The area of the rectangle is given by the formula, A=x·y Since the point (x, y) lie on the line so…

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

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

A: Given that a piece of wire 100cm long, needs to be bent to form a rectangle . We have to find the…

Q: An open-top box is to be made from a 30-inch by 54-inch piece of plastic by removing a square from…

A: Given:Dimension of plastic board=30inch by inch

Q: Mr. Camu wants to enclose his vegetable garden at the back of his estate with a fence on 3 sides. He…

A: Since Mr. Camu has 30m of fencing. As he wants to enclose his vegetable garden with a fence on 3…

Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each…

A: Explanation of the answer is as follows

Q: Find the dimensions of the rectangle of maximum area which can be laid out within a right triangle…

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Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

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Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 104 in. and…

A: Let, Length = L inches. Width = W inches. Given that the perimeter = 104 inches. That means:…

Q: A rectangle is bounded by the x-axis and the semicircle y = √(25 − x2). What length and width should…

A: Given, A rectangle is bounded by the x-axis and the semicircle y=25-x2. The figure,

Q: A farmer has 600m of fence to enclose a rectangular divided pasture adjacent to an existing wall. He…

A: In question given that  farmer has 600m of fence to enclose a rectangular divided pasture adjacent…

Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

A: Let the length of a rectangle is x  Let the width of the rectangle be y

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

Q: A farmer wants to fence in three sides of a rectangular field shown below with 1,120 feet of…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: NOTE: Refresh your page if you can't see any equations. . length L=x width W=x height H=y the…

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

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Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 49 –…

A: Topic :- Application of Derivative

Q: Suppose you have to fence two rectangular fields with the same dimensions that share a common side.…

A: Suppose you have to fence two rectangular fields with the same dimensions that share a common side.…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Here we use rhe application of derivative.

Q: rectangular plot of farmland will be bounded on one side by a river and on the other three sides by…

A: Given query is to find the attached maximum area inclosed by 800 meter wire l.

Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: As per given  We have to determine dimension of rectangle box

Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y 49 –…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given:- A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

Q: 1. A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive…

A:

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius of 26 and with…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A:

Q: A rectangular bird sanctuary is being created with one side along astraight riverbank. The remaining…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: Given:- A courier service will deliver a package only if the length plus girth does not exceed 96…

Q: A gardener is building a garden shaped like a rectangle. If he has 100 meters of fencing to go…

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Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

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Q: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

A: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Here we will use the area of rectangle.  Area of rectangle  , A = W×L ,  where W = width and L =…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A:

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

A: Given information: A farmer decided to enclose a rectangular garden, using the sude if a barn as one…

Q: What should the dimensions of the poster be so that the least amount of poster is used?

A: Assume that, x = length of the printed space y = height of the printed space Then, Length of the…

Q: An open box is to be made from a square piece of material, 12 inches by 12 inches, by cutting equal…

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Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola…

A: Application of derivative problem

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

A:

Q: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: First draw a picture and let the length of the bank of the river be l and then solve.

Q: Find the dimensions of a rectangle of maximum area having a perimeter of 36 feet

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