A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that the area that would be enclosed by the rectangle would be maximum?

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.

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Q: Determine the Maximum area of a rectangle lot that can be created with a 1000m length of fencing…

A: Given: Length of fencing is 1000m We know that fencing means boundary Let x, y be the length and…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: dimensions

A: Please refer to the image below

Q: You are to fence off two rectangular garden beds of the same size in such a way that they share one…

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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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Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

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A: The area of rectangle having length L and breadth B is given by Area=L×B and perimeter is calculated…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

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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: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: If 1800 feet is available to build 5 adjacent pens, find the dimension of the pens that will…

A: Given:The perimeter of all 5 pens is 1800 ft.Calculation:Let x and y be the length and thge width of…

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

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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 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

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Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

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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…

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,…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

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

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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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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

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Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

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Q: Find the dimensions of a rectangle (in m) with area 216 m whose perimeter is as small as possible.

A: Let x be the length and y be the width of rectangle, Perimeter P=2(x+y), Area A=xy Given A=216…

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: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

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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: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

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Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A:

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: When enclosing 3 sides, the maximum area for a given rectangular area is obtained by forming a…

A: Given:Length is twice the ?

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: A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If…

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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 rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

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Q: Of all rectangles with a perimeter of lo meters, which one has the maximum area? (GIve both the…

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

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Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

A: Solution is written in below steps.

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…