2. The sum of perimeters of an equilateral triangle and a square is 10. Find the dimensions of the triangle and the square that produce a minimum total area. Verify your answer by graphing the function.

Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 4. An open-top box with a square bottom and rectangular sides is to have a volume of 256 cubic…

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Q: Suppose there is a rectangle with length L and width W (W < L) (in inches that has an area of 324…

A: The area of rectangle is given by A=length×width and perimeter is given by P=2Length+width.

Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We need to find dimension of an open box that maximizes the volume.

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Given, Fencing = 750 feet

Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area…

A: Given: A farmer with includes the 950 ft of fencing that results in enclosing the rectangular area…

Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: I use second derivative test to find out dimensions of rectangle where area is maximum

Q: A farmer wants to fence in 80,000m² of land and then divide it into three plots of equal area. Find…

A: The area of the fence is 80,000 m2. The divided area of three plot are identical to each other. So,…

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an…

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Q: Consider the following problem: a farmer with 950 feet of fencing wants to enclose a rectangular…

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

Q: Solve for d,e,f

A: (d)Given that a farmer with 750 ft of fencing wants to enclose a rectangular area and then divide…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: A piece of wire 10m long and cut into two pieces One piece is bent into a square and the other is…

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: 2. Helmut, an ostrich farmer, wants to build a rectangular fenced enclosure divided into five…

A: Given that, Total length= 120 m

Q: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

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Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

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Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the…

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Q: Find the length and width of a rectangle that has an area of 1,152 square feet and whose perimeter…

A: Given:Area=1152 square feetFormula:Perimeter of rectangle=2l+wArea of rectangle=l×w

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: A…

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Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

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Q: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

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Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area…

A:

Q: 12. The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of…

A: Given: The objective is to find the dimensions of square and an equilateral triangle whose perimeter…

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

A: the length of the square end edge is =?                                     box height is =? the…

Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

A:

Q: manufacturer estimates that the cost (C) of production of (x) units of a certain item is ? = 40? −…

A: Given query is to find the production level for minimum cost.

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: Find the length and width of a rectangle that has an area of 75 square feet and a minimum perimeter.…

A: We have to find length and width of the rectangle.

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

A:

Q: A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: Suppose there is a rectangle with length L and width W (W<_L) (in inches) that has an area of 169…

A: Since, we know that Area=Length×Breadthand Perimeter=2(Length+Breadth)Here Length=L and…

Q: Consider the following problem: a farmer with 650 feet of fencing wants to enclose a rectangular…

A:

Q: Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area…

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Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But…

A: Total  number of apple  trees=x+19GIVEN:Additional tree planted the yield will decrease by three…

Q: Find the dimensions that will give the minimum surface area for a crate that has a volume of 13.5…

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Q: Find the dimensions of a rectangle with area 100 m? whose perimeter is as small as possible? Find…

A: to find:- dimensions of the rectangle. minimum perimeter.

Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

A:

Q: Is the rectangle of fixed area whose perimeter is a minimum a square?

A: Given Area of a rectangle =  square units-----(1)   Let length of the rectangle be feet and the…

Q: 2. Find two numbers whose difference is 100 and whose product is a minimum.

A:

Q: Consider the following problem: a farmer with 950 feet of fencing wants to enclose a rectangular…

A: Given:- The farmer has 950 feet of fencing and enclosed a rectangular area and divide it into four…

Q: Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area…

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