18. A farmer intends to make four identical rectangular pens each with an area of 100 m² as shown in the figure. What are the dimension of fence that minimize the amount of the materials used? (Note that the farmer does not need a fence along the side of the barn.)

Q: need help with 2and 3 not number 1 !!!

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A: Given

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Q: 6. A rectangular area of 3200 ft² is to be fenced off. Two opposite sites will use fencing costing…

A: Solution:- area of rectangle= length * breadth

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A: Figure Three equally sized rectangular

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Q: 8. A farmer wants to fence an area of 16000 square feet and then divide it into 4 parts by placing 3…

A: To minimise the cost, the dimensions are to be computed. we have,Area = xy = 16000now,Length of…

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A: Let the dimensions be as follows: Let x be the length  and y be the width. height will  be  1215xy…

Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: 4.1- You are building five identical pens adjacent to each other with a total area of 1000 m², as…

A: Given, Five identical pens are given below.

Q: A rectangular box with no top is to have a square base and a volume of 20 ft. If the material for…

A:

Q: 5. A farmer wants to fence an area of 9600 square feet in a rectangular field and then divide it in…

A:

Q: We are designing a poster to contain 120 cm2 of printing with a 4-centimeter wide margin at the top…

A: Given: We are designing a poster to contain 120 cm2 of printing with a 4-centimeter wide margin at…

Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

A:

Q: A worker is to construct an open rectangular box 3 with the square base and volume of 12 ft.³. If…

A:

Q: 1. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: Given Data: Assume, The length of the box is: l The width of the box is: w The height of the box is:…

Q: 2. A closed rectangular box with a volume of 16 ft3 is made from two kinds of materials. The top and…

A:

Q: (2) A rancher wants to construct a rectangular pen by extending an existing 100 ft stone wall by an…

A: Let the length along the stone wall be x. And take the width to be y. Then the length of fencing…

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A: Solve by minimizing surface area

Q: We want to construct a box whose base length is 3 times the base width. If the box must have a…

A: We know volume of box = length×breadth×height The given volume is 50 ft3  and length is three times…

Q: 2 2. A rectangular playing field is to have area 600 m . Fencing is required to enclose the field…

A:

Q: 8. (10 points) An open top storage container is to be made in the form of a right circular cylinder…

A: Given,Right circular cylinder,volume=28π m3material for the side cost $3 per m2and material for the…

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

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A:

Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: 14. A box with a square base and open top must have a volume of 32,000 cm³. Find the dimensions of…

A:

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: Assume that the length of the base of the square be x and height be y. Since the volume of the box…

Q: Suppose a farmer wants to fence off a rectangular field alongside a river with a total area of 15,…

A: Given, Area= 15000m2 we draw a diagram according to the question we have to find the dimension of…

Q: 19. If the farmer in Exercise 18 wants to enclose 150 square meters of land, what dimensions will…

A: The minimum of a function can be obtained at the point where the slope of the function is 0. The…

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

A:

Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

Q: 4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two…

A: Here we find b and h to minimize the cost,

Q: 6. A soda company is designing a new can that is more cost efficient. The base of the can costs…

A:

Q: We are designing a poster to contain 250 cm2 of printing with a 1-centimeter wide margin at the top…

A: Given Designing a poster to ccotain =250 cm2wide margin at the top and bottom =1 cmand wide margin…

Q: 5., You are building TWO identical pens adjacent to each other with a total area of 100 m², as shown…

A: Let's solve 5th question, dimensions for minimize the amount of fencing.

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A:

Q: 11. A box to be build whose base length is 6 times the base width, and the box will be enclosed 20…

A: Given that the base length is the 6 times the base width. Let base width=w Then base length=6w And…

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A: Let x be the length of the wire cut for the circle then the length of the wire cut for the square.If…

Q: A rectangular flower garden with an area of 306 m is surrounded by a grass border 1 m wide on two…

A: Let the length of the garden= x m and width= y m So the area=xy=306 From this we get: y=306x   So…

Q: A rectangular garden of area  64m^2 is to be constructed using rock walls for  two adjacent sides…

A: