A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Fenced in Region If the farmer has 100 feet of fencing, what should the dimensions of the rectangle be to enclose the maximum area?

Q: You have 1000 feet of fencing to construct six corrals, as shown in the figure. Find the dimensions…

A: Available fencing = 1000 ft∴ 4y+3x = 1000⇒ y = 1000-3x4   ---(1)Area enclosed , A = xy⇒A = x1000-3x4…

Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Given, Fencing = 750 feet

Q: The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to…

A: Let, x be one of the number from the pair who's sum is 22 and whose product is as large as possible.…

Q: If an isosceles triangle has a fixed perimeter P, find the dimensions that maximize the area. Your…

A: Given: An isosceles triangle is given with perimeter P. The objective is to find the dimensions of…

Q: Consider the following problem: a farmer with 850 feet of fencing wants to enclose a rectangular…

A: I use second derivative test to find out dimensions of rectangle where area is maximum

Q: The legs of a right triangle have lengths 3 cm and 4 cm, respectively. A rectangle is inscribed in…

A: This question can be solved using the concept of maxima and minima.

Q: A farmer wants to fence in a rectangular pen and then divide it in half with a fence parallel to one…

A: Solution is below

Q: off and divided in two by another fence parallel 5) fencing is used. Find the maximum area of the

A:

Q: Consider the following problem: a farmer with 950 feet of fencing wants to enclose a rectangular…

A: according to our guidelines we can answer only three subparts  and rest can be reposted.

Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

Q: 10. A wire of length 20m is cut into two parts, one of which is bent into a circle and the other…

A:

Q: A farmer wishes to enclose a rectangular area divided into two sections as shown in the figure…

A: Given that a farmer wishes to enclose a rectangular area divided into two sections. One side of the…

Q: A gardener wants to enclose a rectangular area using 260 feet o wooden fence. Find the dimensions…

A:

Q: The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the…

A: Given,          The back of Jill's property is a creek. Jill would like to enclose a rectangular…

Q: 5. A piece of wire 12 cm long is bent in the shape of a rectangle. Find the maximum area of the…

A: # we are entitled to solve one question at at time , please resubmit the other question if you wish…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the…

A: Draw the rough diagram as shown below. From the above figure, it is observed that, Perimeter…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A:

Q: A rectangular silo with open top and has a square base for food storage is a school project of two…

A: We will use the basic knowledge of formulas of surface area and volume of cuboid, and the knowledge…

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

A: Let's find fourth side length for maximum area.

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A:

Q: A rectangle is bounded by the x-axis and the semicircle  y = square root of (49-x^2)  (see figure).…

A: Let the length along the x axis is = 2x So the height= 49-x2 So the area is: A=2x49-x2

Q: A farmer wishes to fence off a rectangular sheep pen and uses all of 100m of fencing. An adjoining…

A:

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

A:

Q: 1. A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive…

A:

Q: Find the dimensions of the rectangle with maximum area that can be inscribed in a Semi - circle of…

A:

Q: A farmer has 360 meters of fencing with which to build two animal pens with a common ... side as…

A: Find the dimensions if the field with the maximum area. Find maximum area?

Q: A rancher has 960 feet of fencing to construct six​ corrals, as shown in the figure. Find the…

A: Given: Length of rancher = x Width = y Fencing = 960 feet:   To find: Maximum possible are with…

Q: A rectangular box without a lid is to be made from 12m2 of cardboard. Find the maximum volume of…

A:

Q: A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the…

A: Given information: A farmer decided to enclose a rectangular garden, using the sude if a barn as one…

Q: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One boundary of…

A: Given: A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One…

Q: A farmer has 400 feet of fencing to enclose 3 adjacent rectangular pig pens. What dimensions should…

A:

Q: A farmer has 416 feet of fence in which to fence in the rectangular area with 2 dividers as shown to…

A: Given: Totol length of fence = 416ftLet say for rectangular regionLength = L (ft)Width = W (ft)Now…

Q: A farmer with 120 meters of fencing needs to enclose a rectangle area into three equal pens with…

A:

Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: Consider the following problem: a farmer with 650 feet of fencing wants to enclose a rectangular…

A:

Q: Professor Calderon wants to build a rectangular fence along a pond so his dogs can go for a swim; he…

A:

Q: 1. A rancher has 6100 feet of fencing with which to enclose three adjacent rectangular corrals (see…

A: A rectangle having dimension 3x and y.

Q: A rectangular plot adjacent to a stream is to be fenced in by using the stream as one side of the…

A: We have to find the maximum area.

Q: An Architect Plans To Build A Triangular Enclosure With A Fence On Two Sides And A Wall On The Third…

A: The given triangle is sketched below.

Q: square corners are cut out so that the sides can be folded up to make a box. What dimensions will…

A:

Q: An architect plans to build a triangular enclosure with a fence on two sides and a wall on the third…

A:

Q: A nursery school wants to build a fence around the playground outback of three equal sections. The…

A: Consider the fig. for the playground to find the length and width for the playground.

Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as below.…

A:

Q: A playpen is to be set up in a family’s recreation room using a 48 foot long flexible fence. Find…

A:

Q: Consider the following problem: a farmer with 950 feet of fencing wants to enclose a rectangular…

A: Given:- The farmer has 950 feet of fencing and enclosed a rectangular area and divide it into four…

Q: A nursery school wants to build a fence around the playground outback of three equal sections. The…

A:

Q: A farmer wishes to enclose a rectangular region bordering a barn with fencing, as shown in the…

A: Assume the below figure top be the given figure as mentioned in the question. Let the length of the…