long is to be cut into two pieces, one 4 A wire 28 m piece to form a square and the other to form a circle How should the wire be cut ノ So as to : (a) Maximize the sum of two areas. (b) Minimize the sum of two areas.

Q: An open top box is to have a square base and and a volume of 13500 centimeter cube. Find the…

A: in a cube each face is square volume of cube =(side)3

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

A: Let x and y be the length of sides of rectangle along x-axis and y-axis respectively. Then , the…

Q: A rectangular corral of 160 square meters is to be fenced off and then divided by a fence into two…

A: Let ,  Length of fence that divides the two corrals = a Length of a side oc the fence perpendicular…

Q: A solid steel cylinder is to be produced so that the sum of its height h and diameter 2r is to be at…

A:

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

A: Let one side be length P and the other QTotal area = PQ =13.5 million

Q: A piece of wire 75m long and needs to be divided into two pieces. One piece will be used to form a…

A: Given data: The total length of the wire is L=75 m. The expression for the total length which is…

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

A:

Q: A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: A rancher wants to fence off a rectangular corral with an area of 4050 sq. yds next to a river. Find…

A:

Q: Hannah wants to enclose her rectabgle garden to keep animals out. one side of garden is against…

A: If x, y are length and width width of rectangle respectively then area of rectangle is xy. Length of…

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

A:

Q: 1. The sum of two positive numbers is 200. What is the maximum possible value for their product? 2.…

A: As question number is not mentioned in the given attachment. So, I am solving first question. Kindly…

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 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 rectangular page is to contain 50 square inches of print. The page has to have a 1-inch margin on…

A: GivenArea of printed  pages=50in2Margin at top and bottom =1 inchMargin on each side=12 inch

Q: A fence is to be built around a rectangular area of 36 square metres beside a building where one of…

A: Let x be the length and y be the width of the rectangle One side of the rectangle have no fence. So…

Q: a. A rectangular pen is built with one side against a bam. If 1100 m of fencing are used for the…

A: x=width  y=length  perimeter is given by p=2x+y here we have p=1100 1100=2x+y y=1100-2x . the area…

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

A: Let x be the length of rectangle and y be the width of rectangle.

Q: A small shed is to be built with a volume of 125 ft3 and the cost is to be minimized. The concrete…

A: Let the length of the shed be l ft, width be b ft and height be h ft.Use the volume to find h in…

Q: A farmer has 500 ft of fence for constructing a rectangular corral. One side of the corral will be…

A:

Q: Farmer Brown wants to fence in a rectangular plot in a large field, using a rock wall which is…

A: Please see the diagram below to comprehend the situation. East and West dimension is y and the…

Q: The upper right-hand corner of a piece of paper, 15 in. by 8 in., as in the figure, is folded over…

A: Concept used: If f''x>0 if and only if fx is the absolute minimum value, where f'x=0.…

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

A:

Q: You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular…

A: Area of rectangular infinity pool is 1200 square foot. Cost of regular pool wall is $12 per foot,…

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

A:

Q: If the cost of the fencing for the boundary is $5 per meter and the dividing fence costs $2 per…

A:

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 closed rectangular box is made with two kinds of materials. the top and bottom are made of thick…

A:

Q: Emily is making a closed rectangular box with a square base from two different woods. The wood for…

A: The solver program in the Excel can be used to optimize a function within specific constraints. The…

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: 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 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: A closed rectangular box is made with two kinds of materials. The top and bottom are made with…

A:

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

A: use right angle triangle concept  pythagorean triplet use concept of maxima minima  permeter of…

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

A:

Q: long is to be cut into two pieces, one A wire 28 m piece to form a square and the other to form a…

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: How would you divide a 27 inch line into two parts of length A and B so that A+B=27 and the product…

A:

Q: Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy…

A:

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A:

Q: A piece of wire of length 60 is cut, and the resulting two pieces are formed to make a circle and…

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 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…