A farmer has 100 metres of wire fencing from which to build a rectangular chicken run. He intends using two existing adjacent walls for two sides of the rectangular enclosure. Determine the dimensions which give a maximum enclosed area.

Q: A Norman window consists of a rectangle topped with a semicircle. Find the dimensions of the window…

A: Solved below

Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

A:

Q: Using the side of a building as one side and fencing for the other three sides, a rectangular garden…

A:

Q: A rectangular piece of cardboard is 16 inches by 10 inches. Squares are going to be cut out of the…

A:

Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

A:

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A:

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

A:

Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,800 feet of fencing…

A: This question is related to application of derivative.

Q: By cutting away identical square from each corner of a rectangular piece of cardboard and folding up…

A:

Q: 4) A farmer has 2000 feet of fence and wants to build a rectangular enclosure along a straight wall.…

A: Given:-rectangular fence along a straight wallthere is no fence along the walltotal length of…

Q: A farmer has 600m of fence to enclose a rectangular divided pasture adjacent to an existing wall. He…

A: In question given that  farmer has 600m of fence to enclose a rectangular divided pasture adjacent…

Q: A farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

Q: An open box is to be made of a piece of cardboard 10cm x 16cm by cutting equal squares out of the…

A:

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inchesby cutting…

Q: A rectangular garden is to be constructed using a rock wall as one side of the g and wire fencing…

A: We are asked to find dimensions of the rectangle.

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

A:

Q: An open box is to be made from a square piece of material, 12 inches, by cutting equal squares from…

A: Here we use the concept of APPLICATIONS OF DERIVATIVES

Q: We want to construct a box with a square base and we only have 10 m² of material to use in…

A:

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

A:

Q: The maximum volume of a box with a square base is taller than it is wide. In order to send the box…

A:

Q: two chicken coops are to be built adjacent to one another from 144ft of fencing. WHAT DIMENSIONS…

A: Let the length of the individual chicken coops = x ft Let the width of the individual chicken…

Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

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

A:

Q: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

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

A: Given a rectangular plot of farmland bounded by river on one side and fencing on other three sides.…

Q: from a piece of cardboard that is 24 cm by 48 cm ,cut equal squares out of the corners . fold up the…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard that is 4 feet wide by…

A: Square piece of cardboard of 4 feet wide. Let x feet be cut off from each corner of the square piece…

Q: A man wants to fence 3 sides of his rectangular property with 1000 ft. of barbed-wire fencing. The…

A:

Q: A farmer has 1800 m of fencing to make two equal rectangular pens that share a common side.…

A:

Q: A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing…

A: Let the dimension of the each rectangular corral be, x m by y m.The perimeter of one rectangular…

Q: A box with an open top and square base is to be created with a surface area of 300 square inches.…

A: The box is open  And base is square  Let square sides l = b = x in And height  =h in

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given that the perimeter of the rectangle is 200 feet.   Suppose that the length of the rectangle x…

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: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A:

Q: Using the side of a building as one side and fencing for the other three sides, a rectangular garden…

A: Given: Using the sides of a building as one side and fencing for the other three sides,a rectangular…

Q: A 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: With only 600 m2 of materials, a closed cylindrical tank is to be made. What should be the height of…

A: Let's find.

Q: A piece of wire of length 200 ft is bent into the shape of a rectangle. Which dimensions produce the…

A: Given:  Length of wire = 200 ft Wire is bent into the shape of a rectangle So, perimeter of…

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

A:

Q: What is the maximum area he can enclose?

A:

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

A:

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

A:

Q: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

A:

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

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

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What…

A:

Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

A: