A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much of the wire should go to the square to maximize the total area enclosed by both figures? m (b) How much of the wire should go to the square to minimize the total area enclosed by both figures?

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

A:

Q: Suppose we have 45 m^2 of material to build a box with a square bottom and no top. What dimensions…

A:

Q: A box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting x-in. squares…

A:

Q: Farmer Bob has $400 available to build a rectangular enclosure along the bank of a straight river.…

A:

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: 5.a. Suppose a wire 20 cm long is to be cut into two pieces, each of which will be formed into a…

A:

Q: A wire of length 38 m38 m is divided into two pieces and each piece is bent into a square. How…

A:

Q: A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a…

A:

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A:

Q: A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other…

A:

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

A: Let x and y be the length and width of poster in cm.  Area of poster is 6000 cm2 ,so we have

Q: A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let x m make a square.So each side= x/4 mArea of the square = (x/4)^2= x^2/16 m^2

Q: A box with no lid is being made out of flat rectangular piece of cardboard with dimensions 2 in by 5…

A: Let squares of side length x inches have to be cut from all the corners.  So the length of the box…

Q: units of special lamp and the regular lamp should be produced per production period in order to…

A:

Q: A rectangular box has base with one side three times the length of the other side. If the top of the…

A:

Q: A wire of length 6 m is divided into two pieces and each piece is bent into a square. How should…

A: We can find the answer as below

Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: The area and circumference of the circle is πr2, 2πr respectively, where r is the radius of the…

Q: The upper right-hand corner of a piece of paper, 15 in. by 4 in., as in the figure, is folded over…

A:

Q: You are designing a rectangular poster to contain 50 in' of printing with a margin at the top and…

A:

Q: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area…

A: 5. Notice that the dimensions of the poster are: Length = x +16, Width = y +24 Area of the Printed…

Q: A rectangular warehouse is to have 48,660.48 square feet of floor area and is to be divided into two…

A:

Q: poster is to contain 150 square inches of printed matter, surrounded by margins that are 3 inches…

A: Topic = Application of Derivative

Q: A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A page printed must contain 60sq. cm. of printed material. There are to be margins of 5cm. on either…

A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

A:

Q: A small resort is situated on an island that lies exactly 4 miles from PP, the nearest point to the…

A:

Q: a wire 34 cm long is cut into 2 pieces. One piece is bent to form a square and the other is bent to…

A:

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: I am attaching image so that you understand each and every step.

Q: The upper right-hand corner of a piece of paper, 12 in. by8 in., as in the figure, is folded over to…

A:

Q: A wire 7 meters long is cut into two pieces. One piece is bent into a square for a frame for a…

A: Let's assume length of circle is xTotal length is 7Length of square is 7-xLet's assume radius of…

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: A Florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree…

A: Let X be the number of additional trees planted  The expression for the yield Y is  Y =…

Q: 13. A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then…

A:

Q: A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We will use derivative test to solve this.

Q: A piece of wire of length 200in is cut into at most two pieces. Each piece is bent into the shape of…

A: A piece of wire of length 200in is to cut into at most two pieces & each piece is bent into the…

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: what dimensions of the box will minimize its cost of construction? What is the minimal cost?

A: Let l, b, h be the length, breadth, and height of the rectangular box. Then the area of the 4 side…

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: An open box is to be constructed from a 12x12-inch piece of cardboard by cutting away squares of…

A: Let the cut away squares side is of x in. So, the dimension of the open box with height x, length…

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A:

Q: A wire 5 meters long is cut into two pieces. One piece is bent into an equilateral triangle for a…

A: Total length of wire = 5 length of wire used for each:For the equilateral triangle: xCircumference…

Q: 5. A piece of wire 30cm long is cut into two pieces. One piece is bent into a square and the other…

A:

Q: You are designing a rectangular poster to contain 50 in2 of printing with a 4 in. margin at the top…

A: Given A rectangular poster to contain 50 in2 of printing with a 4 in. margin at the top and bottom…

Q: A farmer wants to fence an area of 600 square feet in a rectangular field and then divide it in half…

A: Given that, A farmer wants to fence an area of 600 square feet in a rectangular field. After that,…

Q: 2. A rectangular area is enclosed with fencing on three sides, with the fourth side along a house.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A farmer wants to fence an area of 1.5 million square feet in a rectangula field and then divide it…

A:

Q: A piece of wire of length 69 is cut into two pieces. One piece is bent into a square and the other…

A: Here we have to find the length of the square and circle such that the sum of areas of  square and…