A rectangular quilt is to be made so that the length is 1.5 times the width .the quilt must be between 90ft^2 and 120ft^2 to cover  the bed. Determine the restriction on the width so that dimensions of the quilt will meet the requirements area?

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: A rectangular page is designed to contain 81 square inches of print. The margins at the top and…

A:

Q: A box with a square base and open top must have a volume of 62,500 cm. Find the dimensions of the…

A: Topic- Application of Derivative

Q: What is the longest dimension of an open top rectangular box of greatest volume that can be…

A:

Q: An open rectangular box with square ends to hold 6400 cu ft., is to be built at a cost of $0.75 per…

A: The rectangular box is square at base and opened at top.So we will not be involving top of the box…

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A:

Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

A:

Q: A wire of length 10 cm is divided into two parts which are bend in the form of  a  rectangle if it…

A:

Q: A manufacture wants to design an open box having a square base and a surface area of 256 square…

A:

Q: The rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: A landscape architect wishes to enclose a rectangular garden of area 1000 m2 on one side by a brick…

A:

Q: A parcel of land is in the form of a rectangle. Its area is 40 square meters. What should be its…

A: Let x and y , in meters be the length and width of the rectangular piece of land. Its area is 40…

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A:

Q: A rectangular page is designed to contain 121 square inches of print. The margins at the top and…

A:

Q: A rectangle sheet of cardboard measures 16 cm by 6 cm . equal squares are cut out of each corner and…

A: We need to find maximum volume.

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches…

A:

Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

Q: what is the largest area

A: Given, A rectangular plot of farmland will be bounded on one side by a river and on The other three…

Q: A rectangular field of fixed area is to be enclosed and divided into three lots by parallel to one…

A: Given: A rectangular field of the fixed area is to be enclosed and divided into three lots parallel…

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

A: Solution : Let suppose the length, width and height of the suitcase is x, y, and z respectively.…

Q: A rectangular plot of playground with a 500 m^2 area is to be surrounded by a fence, with an…

A:

Q: A rectangular box without a lid must be made at a cost of $15 for stuff. If the material for the…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: A box is to be manufactured such that its width is exactly three times its length and its volume is…

A: Let us consider the length of the box to be x meters Hence, width of the box is 3x meters Since,…

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

A: Here we use the concept of APPLICATIONS OF DERIVATIVES

Q: What are the dimensions of a closed rectangular box that has a square cross section and a capacity…

A:

Q: An open box is constructed by cutting square corners with side x cm from a 150-cm by 100-cm sheet of…

A: According to the problem, we have

Q: two chicken coops are to be built adjacent to one another from 144ft of fencing. WHAT DIMENSIONS…

A: Let the length of the individual chicken coops = x ft Let the width of the individual chicken…

Q: A manufacturer wants to design an open box having a square base and a surface area of 244 square…

A:

Q: A rectangular box with a square base and no top is to have a volume of 108 cubic inches. Find the…

A: Rectangular box with square base   Volume (v) = 108 inch3let base is a x a squareheight = bvolume…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

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

A:

Q: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

A:

Q: A rectangular page is to contain 60 square inches of printable area. The margins at the top and…

A: Here, given that the printable area of the page is 60 square inches. Let x be the length of the…

Q: A poster of area 6000 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: SOLUTION-

Q: Calculate the maximum volume of the open-topped box made by cutting out four equal size square…

A:

Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

A:

Q: A rectangular quilt is to be made so that the length is 1.4 times the width .the quilt must be…

A:

Q: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A:

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Find the dimensions of the rectangular box of maximum volume formed by a given rectangular sheet.

Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: A concrete slab consists of a rectangle 37' by 34' with a uniform thickness of 2'. What is the cost…

A:

Q: A rectangular box is to have a square base and a volume of 20 ft³. If the material for the base…

A: Given, Rectangular box is to have a square base and a volume of 20 ft3  The material for the base…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: find the maximum volume of a rectangular box that a post office will accept for delivery of the sum…

A:

Q: A rectangular box without a lid is made with a material cost of $10.00. If the material for the…

A: Using AM GM INEQUALITY

Q: What are the dimensions of the base of the rectangular box of greatest volume that can be…

A: