A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1400 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? ... The maximum area of the rectangular plot is

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A: Solved below

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A: Consider x as the length and y as the breadth of the rectangle.Then area is A = xy.Since x is length…

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

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

A: Given 2300m of wire is used for fencing three sides and one side is covered by river

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A: Given that a farmer wishes to enclose a rectangular area divided into two sections. One side of the…

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Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

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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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A: A rectangular sheet of metal having dimensions 20cm by 12cm has squares removed from each of the…

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

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: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a…

A: topic- application of derivatives

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A: We are asked to find dimensions of the rectangle.

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A: Given: total length of fencing material of rectangular plot = 1000m

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A: Here we use the concept of APPLICATIONS OF DERIVATIVES

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

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2 –…

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

A: Given informationRectangle base is on x axisTop on parabola

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A: Solution by using Lagrange multipliers as follows :

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

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A: Application of derivative

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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

A: Given a rectangular plot of farmland bounded by river on one side and fencing on other three sides.…

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A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

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A: Let the sides of square be x cm then the dimensions of the box will be as follows Dimensions of box…

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

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

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Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Given: The total perimeter is 16 feet. The given window is formed by adjoining semicircle to the top…

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A: To find: The way to use the wire such that the area enclosed by the triangle and square would be…

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Q: The city park department is planning anenclosed play area in a new park. One side of the area will…

A: Consider the provided information, Let the total length and the width of the rectangle is l and b.…

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Q: A farmer wants to make a rectangluar enclosure using a wall of a barn as one side and 160 ft of…

A: Let x ,in feet, be the length of side of rectangular enclosure which is along the wall of barn and y…

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Q: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

A: A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining…

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What…

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Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

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