Suppose that 477 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as shown in the following figure: y Find the dimensions of the corral with maximum area.

Q: Suppose that 208 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given:  208 ft of fencing is used to enclose a coral From given figure diameter of the semicircle is…

Q: The volume of an open box with a square base is 4000 cm3. Find the dimensions of the box if the…

A: Given that volume =4000cm3 find the dimensions of the box that minimize the amount of material used…

Q: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

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 production editor at Weston Publishers decided that the pages of a book should have a 1-in. margin…

A: Consider x as the length and y as the breadth of the rectangle.Then area is A = xy.Since x is length…

Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

A: Dimensions of plastic sheet = 5m×6m×50mm            Dimensions of door  = 3m×4m where Length of…

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

A: The total amount of wood owner has is equal to the perimeter thus add the add the two sides of the…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

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

Q: Find the dimensions of the rectangle, with the largest possible area, enclosed in the semicircle, y…

A: we use second derivative test to find out maximum area of rectangle

Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

A:

Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: The dimensions of a closed rectangular box are measured as 21 cm, 17 cm and 11 cm, respectively with…

A: Given the dimension of the closed rectangular box 21 cm, 17 cm and 11 cm

Q: Suppose that 202 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that 202 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given that,                volume, v =  (x4 ‒  y4) units3

Q: A cardboard box without a lid is to have a volume of 4000cm3. Find the minimum amount of cardboard…

A:

Q: If a gun is fired with and a =30o and V0 = 500m/s, whenwill the bullet hit the ground? How far from…

A:

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: A rectangle, R, has length L = 8 and width W = 3. What is the maximum area of the rectangle, Q, that…

A: We need to find maximum area.

Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

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

A:

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

A:

Q: Find the maximum area that can be formed by a series of small pens next to a river with separate…

A: The area of a rectangle is the product of its length and breadth. For a parabola of the form…

Q: Suppose that 259 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given, Perimeter of corral = 259 ft Then, x+2y+2πx22=259y=259-x-πx22            ... (1)

Q: Suppose that 465 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: We are given that 465 ft of fencing is used to enclose a corral in the shape of a rectangle with a…

Q: Find the maximum area of a rectangle that can be circum -scribed about a given rectangle with length…

A:

Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: A rectangular figure is given. Let, the length of parallel side of division be y and the length of…

Q: Find the dimension of the following shape so that total area enclosed is as large as possible, given…

A: Given the perimeter of the figure below is 120 inches.  To find the largest area possible.

Q: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Given: The total perimeter is 16 feet. The given window is formed by adjoining semicircle to the top…

Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show…

A:

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

A:

Q: The volume of a right circular cone whose base has a radius r and that has a height of h is given by…

A: Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

Q: A rectangular building covering 7000 m² is to be built on a rectangular lot as shown below. If the…

A:

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A:

Q: Define the livable space of a building to be the volume of space in the building where a person 6…

A: As given that height of the rectangular box= 6 ft. (according to the height of person) Length of the…

Q: 3. A divided field is to be constructed with 4000 feet of fence as shown. For what value of z will…

A:

Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

Q: A rectangle is inscribed with ts base on the z-axis and its upper comers on the parabola y= 12-r Fre…

A:

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

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

A:

Q: 1. Find the dimensions of closed-top box with the largest volume if the total surface area must be…

A: It is known that perimeter of box is,  2(xy+xz+yz) Given that, 2(xy+xz+yz)=125 So, z=1252-xyx+y The…

Q: Of all rectangles with a perimeter of lo meters, which one has the maximum area? (GIve both the…

A:

Q: How do I find the epxression for the perimeter of a rectangel with a length of x2 - x + 4 and a…

A:

Q: A farmer would like to construct a cage to separate farm animals. He has 600 meters of materials to…

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Explanation of the answer is as follows

Q: Find the dimensions of the rectangle, with the largest possible area, enclosed in the semicircle, y…

A:

Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…

A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…

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…