A rancher wishes to enclose a 4000 m² field and subdivide the field into 4 rectangular plots, as shown. What should the dimensions of each plot be in order to minimize the amount of fencing needed? (Hint: Use P= 5x+8y) У х

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

Q: A wire b m long is cut into two pieces. One piece is bent into an equilateral triangle and the other…

A: given

Q: Show that of all the rectangles with a given perimeter,the one with greatest area is a square.

A: Let the perimeter P is given.  Let, length = x and width= y So, 2(x+y)=P Or, x+y=P/2 Or, y= (P/2) -…

Q: A rectangular corral of 486 square meters is to be fenced off and then divided by a fence into two…

A:

Q: Prove that of all rectangles with given perimeter, the square has the greatest area.

A:

Q: Three equally sized rectangular lots are enclosed by fencing the perimeter of a large rectangular…

A: Figure Three equally sized rectangular

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: A rectangular campsite on the shore of a lake is to be surrounded on three sides by a narrow, 90-m…

A:

Q: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

A:

Q: Show that among all rectangles with a given perimeter, the square is the one with the maximum area.

A: A rectangle is a quadrilateral whose opposite sides are equal and parallel to each other. The…

Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

A:

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

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

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

Q: Find the dimensions of the largest field that can be enclosed with this amount of fencing, and find…

A: The total length of fence is 148ft.

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given:     Owner has total of 336 cm of wood frame.So the total parameter of the window…

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12…

A:

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

A:

Q: Hi, I am wondering how to do the work for this problem and what the final answer would be. Thank you

A:

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: Given the perimeter of the window is 336 cm. According to the given structure, perimeter is:…

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î +2j-7k…

A:

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

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: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: Find the dimensions of a rectangle (in m) with area 216 m whose perimeter is as small as possible.

A: Let x be the length and y be the width of rectangle, Perimeter P=2(x+y), Area A=xy Given A=216…

Q: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

A:

Q: Building Play Area

A:

Q: A wire b is cut into two pieces. One piece is bent into an equilateral triangle and the other is…

A:

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: Of all rectangles with area 400 in2, what are the dimensions of the one with the minimum perimeter?…

A:

Q: A farmer wants to start raising cows, horses, goats, and sheep and desires to have a rectangular…

A: We have to find maximum possible area that each of the four pens will enclose.

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

A:

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

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: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

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

A: Let a and b be the sides of a retangular fence.

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

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: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

A:

Q: A rancher decades to enclose a rectangular region by using an existing fence along one side of the…

A: Given that, the length is five times as long as its width. That is, l=5b. If existing fence is along…

Q: A rectangular garden of area  64m^2 is to be constructed using rock walls for  two adjacent sides…

A:

Q: An aquarium is to be constructed to hold 2160 in The base is to made of slate and the sides of…

A:

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

A:

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

A: