A 216 m2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length of fence? How much fence will be needed?

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

Q: If 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: Find the dimensions of the rectangular box with the largest volume if the total area is given as 64…

A: Given that total surface area =  64 cm^2. We know that, the surface area for the rectangular box…

Q: A farmer has 3000 m of fencing and wishes to enclose a rectangular area and then divide it into 3…

A: A farmer has 3000 m of fencing and wishes to enclose a rectangular area and then divide it into 3…

Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

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Q: dimensions

A: Please refer to the image below

Q: A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. What is its…

A: the volume of a rectangular prism is given by V=l·w·h here we have length l=13 feet  width w=4 feet…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: A home owner wishes to use 600 feet of fence to enclose two identical adjacent pens, as in the…

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Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: There are 170 boxes with equal sides and sizes. What would be the size of each box in order to fit…

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Q: One layer of 1-inch cubes is shown. If 9 layers are stacked, what is the volume of the right…

A: Solution :- volume of the rectangular prism = length * width *height  The solution of the above…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: A farmer with 780 ft of fencing wants to enclose a rectangular area and then divide it into four…

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Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: A farmer with 450 ft of fencing wants to enclose a rectangular area and then divide it into 3 pens…

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Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

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Q: A metal plumb bob comprises a hemisphere surmounted by a cone. If the diameter of the hemisphere and…

A: Given the diameter of the hemisphere and cone = 4 cm Total length of the bob = 5 cm Find the volume…

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

Q: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation  5x +…

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Solution-

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

A: First we assume that the length and width of the rectangle is x and y respectively.Then we formulate…

Q: A swimming pool has volume of 1,500 m³ and has a length of 18 m and a width of 14 m. Determine the…

A: We Know that  Volume of a cuboid = length × width × height(depth)  Given  Volume of swimming pool =…

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

Q: A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The…

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Q: Find the dimensions of a rectangle whose perimeter is 36 m and whose area is 80 m2

A: First of all, consider the formula of perimeter for rectangle.Then put the given value of the…

Q: The base of a pyramid is a rectangle with a width of 6 centimeters and a length of 8 centimeters.…

A: Volume of rectangular pyramid is  V = lwh/2

Q: 9 m 17 m

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Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length is…

A:

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose, L is the length and  W is the width of the rectangular field. Then  Area A=L×W But, area is…

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

A:

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: If you have 260 meters of fencing and want to enclose a rectangular area up against a long, straight…

A:

Q: Find the dimensions of a rectangle with area 2,197 m2 whose perimeter is as small as possible. (If…

A: Let's find Dimension of rectangle.

Q: Multivariable optimization question

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Q: Find the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible. (If…

A: According to question,

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

A: