1. A rectangular field of fixed area is to be enclosed and divided into three lots by parallels to one of the sides. What should be the relative dimensions of the field to make the amount of fencing minimum?

Q: 1.  A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Step:-1 Part (a) Given that a rectangular pool of length =12 meter and width =8 meter Also, pool has…

Q: the City Council proposed to utilize a government-owned land with an area of 15, 000 square meters.…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 9,600 square meters.…

A:

Q: A triangle has variable sides x, y, and z subject to the constraint such that the perimeter is fixed…

A: Given that , The sides of triangle are x,y and z and perimeter = 18 cm ⇒x+y+z=18  Find maximum…

Q: 7. A manufacture want to design an open box having a square base and a volume of 256 cm³. What…

A: Given problem is :

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 12, 150 square meters.…

A: Construction of roads.  Web of roads to be constructed in the city.  The roads should cover the…

Q: he City Council proposed to utilize a government-owned land with an area of 15, 000 square meters.…

A:

Q: 4.1- You are building five identical pens adjacent to each other with a total area of 1000 m², as…

A: Given, Five identical pens are given below.

Q: The City Council proposed to utilize a government-owned land with an area of 9, 600 square meters.…

A:

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

A:

Q: A worker is to construct an open rectangular box 3 with the square base and volume of 12 ft.³. If…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 15, 000 square meters.…

A:

Q: A box with a square base and an open-top is to be constructed. The base will be made of material…

A:

Q: 4. A farmer has 1700 m of fencing. She needs to create three congruent rectangular fields as shown.…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

Q: From a tract of land, a developer plans to fence a rectangular region and then divide it into two…

A: Given: Cost of fence on outside = $20 per foot Cost of middle fence = $8 per foot Area of each lot =…

Q: Can you help with question 2?

A:

Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

A:

Q: 2. A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one…

A:

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Since the base is square, let the three-dimensional be x, x and y. Since they are lengths x,y,>0…

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

A:

Q: 19. A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of…

A:

Q: 18 The rectangles of heights 6, 5, 4, 3, 2, 1 give a total estimated expense of triangle to show why…

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

Q: The City Council proposed to utilize a government-owned land with an area of 12, 150 square meters.…

A: Given:  12150 m2  = total land area of the city13rd area  = For mango tree garden23rd area  = For…

Q: A worker is to construct an open rectangular box with a square base and a volume of 8 ft°. If…

A: Let the height of the rectangular box be h. As the base of this box is a square, let the sides of…

Q: A closed, rectangular-faced box with a square base is to be constructed using only 16 m² of…

A:

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: We will use second derivative test to find the maximum volume.

Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

A:

Q: 19. If the farmer in Exercise 18 wants to enclose 150 square meters of land, what dimensions will…

A: The minimum of a function can be obtained at the point where the slope of the function is 0. The…

Q: 1. Find the dimensions of a rectangular box with a square base and no top that has a volume of 100…

A: Solve By minimizing surface area

Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: 4. A television manufacturing firm needs to design an open-topped box with a square base. The box…

A: Here we have to follow the steps according to the question information to get the answer so I'm…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Given:- A company is constructing an open-top, square-based, rectangular metal tank that will have a…

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A:

Q: The City Council proposed to utilize a government-owned land with a area of 15, 000 square meters.…

A: Given: The land has an area of 15,000 square meters. One-third of the area is used to plant mango…

Q: The City Council proposed to utilize government-owned land with an area of 15,000 square meters.…

A: Main land area is given 15000 square meters. One-third of the area will be used to plant mango trees…

Q: From a tract of land, a developer plans to fence a rectangular region and then divide it into two…

A:

Q: Consider a rectangle of sides x and y with fixed perimeter of 40 units. Find the maximum and minimum…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 12, 150 square meters.…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 15, 000 square meters.…

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

Q: r a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the…

A: Given: The location rent premium at the center =  $5,000 per year per acre, The rent at the edge of…

Q: The City Council proposed to utilize a government-owned land with an area of 15,000 square meters.…

A:

Q: 2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find the…

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: Find the maximum and minimum volumes of a rectangular box whose surface area equals 8000 square cm…

A: Let the three sides or edges of the rectangular box be a,b and c in cm. Surface area of the box will…

Q: The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum, what…

A: In this question, concept of volume and surface area of cylinder is used. Volume and Surface area of…

Q: Mayor John proposed to utilize a government-owned land with an area of 12, 150 m2. One-third of the…

A: This is a application of derivative problem