5. A school is constructing a new sports field. Its shape is a rectangle with two semicircles on either end. A 400 meter track will be built around the perimeter of the entire field. Find the dimensions x and y of the rectangular part of this field that maximizes the rectangle's area. 400

Q: 15. You want to put a fence around a rectangular field and then subdivide the field into 4 smaller…

A: Let's find.

Q: 4. You are designing a rectangular poster to contain 50 square inches of printing with a 4-inch…

A:

Q: 4. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that…

A: Given

Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We need to find dimension of an open box that maximizes the volume.

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: The following solution is given below:

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

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

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: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

A:

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

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

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: a. Let the dimensions of the pen be x m and y m.  Now, the length of the perimeter to be covered by…

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

A:

Q: a. A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Note: According to Bartleby guidelines; For more than one question asked only the first one is to be…

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 5. A farmer wants to fence an area of 9600 square feet in a rectangular field and then divide it in…

A:

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. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the…

A: a) Let x represents the width of the pen and y represents the length of the pen. Given that, the…

Q: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

A:

Q: 9. The backyard of a property is to be fenced off in a rectangular design. Fencing is only needed on…

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: A pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the figure. II the…

A: The given a pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the…

Q: (2) A rancher wants to construct a rectangular pen by extending an existing 100 ft stone wall by an…

A: Let the length along the stone wall be x. And take the width to be y. Then the length of fencing…

Q: 2 2. A rectangular playing field is to have area 600 m . Fencing is required to enclose the field…

A:

Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

Q: A rancher plans to make four identical and adjacent rectan- gular pens against a barn, each with an…

A: Let the width of each pen be x and the length of each pen be y. As the pens are rectangular thus the…

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4) An ice cream company is designing fancy glass containers for their ice cream. The containers will…

A:

Q: Farmer Ed has 700 700 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A:

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

A:

Q: A rancher wishes to enclose a 4000 m² field and subdivide the field into 4 rectangular plots, as…

A:

Q: 4-Find the length and width of a rectangle with perimeter 100 m that maximize the a

A: I have solved the 4th question for you since you have marked it. As per guidelines, we are supposed…

Q: 2. Find the length and width of a rectangle that has an area of 64 square feet and a minimum…

A: Find the length and width of the rectangle

Q: 9) A manufacturer wants to use 108 square inches of material to make an open topped box with a…

A:

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

A:

Q: 17. A Norman window is a rectangle with a semi-circle on top. If the perimeter of the window is 24…

A:

Q: According to postal regulations, a carton is classified as oversized if the sum of its height and…

A: NOTE- I have solved the second question as we are allowed to solve only one question in one session.…

Q: Engr. Lagrazon wants to build a farm using a fence but already have an existing wall. He has 60m of…

A:

Q: A gardener wants to construct 4 garden areas by first building a fence around a rectangular region,…

A:

Q: 2. Find the dimensions of a rectangle with an area of 108 square feet that has the minimum…

A: Area of rectangle = (length)*(width) = 108 sq. ft we need to find dimensions of a rectangle with…

Q: a. A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

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. A rectangular pen is built with one side against a barn. If 1200 m of fencing are used for the…

A:

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…