11 An open rectangular box is to be formed by cutting squares of side length x cm from the corners of a a rectangular sheet of metal that has length 40 cm and width 15 cm. Show that the volume of the box is given by V - 110x² + 4x³. b 600x

Q: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

A: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

Q: The average height of mountain A is 14,240ft, and it’s average height is 8870ft less than the sum of…

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Q: The area of the rectangular piece of cardboard shown below is 216216 square inches. The cardboard is…

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Q: 5. A rectangular field's length is three times its width. If the perimeter is 480 feet, what are the…

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Q: A rectangular lot is to be fenced using 120m of fencing materials. The fence should separate two…

A: To find out the dimensions for which the area of the lot will be maximum.

Q: A garden in the shape of a rectangle is surrounded by a walkway ofuniform width. The dimensions of…

A: Let the width of the walkway is = x feet  So the total length of the garden and the walkway together…

Q: A rectangle piece of a metal has a length that is 10 inch longer than it’s width. Squares with sides…

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Q: The loose-leaf version of the textbook for this course is being remade. The area of each page within…

A: The area ofeach page within which there will actually be print will be 32inches2, and eachpage will…

Q: 8) A rectangular storage container with a square base is to have a volume of 2250 inches cubed. The…

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Q: An open-top box is to be made from a 30-inch by 54-inch piece of plastic by removing a square from…

A: Given:Dimension of plastic board=30inch by inch

Q: 5. A rectangular poster is to contain 648 square inches of print. The margins at the top and the…

A: Given that a rectangular poster is to contain 648 square inches of print. There is a margin of 2…

Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each…

A: Explanation of the answer is as follows

Q: An above-ground swimming poolcontains 1024 cubic feet of water. The rectangularbase of the pool is…

A: The volume of rectanglular pool=l×b×hGiven   l=x+1  feet   b=x feet   h=4 feet  Total volume of…

Q: The owner has 336cm of wood for a surround to the window and wants to determine the dimensions, as…

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Q: 3. A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

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Q: owner of a ranch has 1900 yards of fencing material with which to enclose a rectangular piece of…

A: Given query is to find the dimensions for maximum area.

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

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Q: A farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field…

A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

Q: 1. The length of a rectangle is 1 cm more than twice its width and 2 cm less than the length of the…

A: Given that: Length of a rectangle is 1 cm more than twice its width and 2cm less than the lengthof…

Q: ner decides to endose a rectangular garden, using 100 ft of fencing. What dimensions will maximize…

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Q: 2 centimeters, and the margins on the left and right are to be 1 centimeter. What should the…

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Q: he sum of the perimeters of an equilateral triangle and a square is 23. Find the dimensions of the…

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Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to fenced in using two kinds of fencing. Two opposite sides will use…

Q: A rectangular page is to contain 36 square inches of print. The margins on each side are to be 1.5…

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Q: Find the dimensions of rectangle with perimeter 92 m whose area is as large as possible

A: We have given rectangle of perimeter is 92m. Let the length and breadth of the rectangle are x and…

Q: 1500 square centimeters of material is available to make a box with a square base and an open top,…

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Q: A square has a perimeter of 12x + 20. What is the length of one side of the squa O 4x + 5 O 4 (3x +…

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Q: 7. The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its…

A: Given d=2(l-2) W=2(l-8) Area=? Perimeter=?

Q: A farmer plans to make 3 identical and adjacent rectangular pens, using an existing wall as one…

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Q: An open-top box is to be made from a 37 in. by 27 in. piece of cardboard by removing a square from…

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Q: A rectangular poster is to contain 338 square inches of print. The margins at the top and bottom of…

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Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

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Q: An open-topped box can be created by cutting congruent squares from each of the four corners of a…

A: Given, l= 30-2x b= 20-2x h= x Volume= 1008 cm³

Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: 5. Crunchy Coco Hunks cereal comes in a rectangular box that must be exactly 4 inches deep. If the…

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Q: A rectangular poster is to contain 128 square inches of print. The margins at the top and bottom of…

A: Let the length of the rectangle be x Length after 1 inches of margin = x-2  inch The breadth of…

Q: A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one…

A: A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one…

Q: The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per…

A: Find  left border ft = bottom border ft = garden area ft2.

Q: The width of a rectangular table is 2.4 feet less than its length. If the area of the table is 11.3…

A: NOTE: Refresh your page if you can't see any equations. . the length of the table is x feet and the…

Q: An open box is to be made from a square piece of material, 12 inches by 12 inches, by cutting equal…

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Q: A rectangular piece of sheet metal is 5 inches  shorter than it is wide. From each corner, a 0.5 x…

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Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

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Q: 2. A rectangular dog kennel needs to enclose an area of 33 square feet. Its length must be 5 feet…

A: Use formula of rectangle

Q: 3. Find the dimensions of a rectangular room if its perimeter is 248 feet and its length is 17 feet…

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Q: the two endpoints of a bench measure 4/3x centimeters and 2/3x centimeters, then the midpoint is ___…

A: Given query is to find the midpoint, perimeter and the side  of the different shapes.

Q: A rectangular box for a new product is designed in such a way that the Three dimensions always have…

A: Given: A rectangular box for a new product is designed in such a way that the Three dimensions…

Q: framer has 160 feet of fencing to enclose two adjacent rectangular pens. what dimensions should he…

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Q: 16. A farmer wants to fence an area of 2 million square feet in a rectangular field and then divide…

A: Here first we find the total length of fence in terms of the sides. Now using differentiation we…

Q: A poster is to contain 50 square inches of print material. The margins at the top and bottom of the…

A: Area of rectangle=length* breath

Q: 2. A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P250…

A: The rectangular plot has length x  and width y cost of the fence is 250(length along highway )…