A rectangular garden with an area of 60m² is surrounded by a grass border Im wide on two sides and 2m wide on the other two sides (see figure). What dimension of the garden minimize the combined area of the garden and borders? Grass Border Garden 2m 1m

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: Note:- As per our guidelines, we'll answer the first one as both are different question. Please…

Q: A rectangular frame must have a perimeter of 60 cm. What dimensions should the frame have to…

A: let the dimension of the rectangular frame be x (length) and y (breadth)

Q: A closed rectangular box with a volume V cm3 . The cost of materials used in the box is a sen/cm2…

A:

Q: You are designing a rectangular poster to contain 27 in? of printing with a 3-in margin at the top…

A:

Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: Optimal garden A rectangular flower garden with an area of30 m2 is surrounded by a grass border 1 m…

A: Consider the length of the flower is L and width is W. Then To minimize the combined area of garden…

Q: a. A rectangular pen is built with one side against a barn. If 1500 m of fencing are used for the…

A: a. Let the dimensions of the pen be x m and y m.  Now, the length of the perimeter to be covered by…

Q: A rectangular corral of 150 square meters is to be fenced off and then divided by a fence into two…

A:

Q: A cardboard box with an open top and a square bottom is to have a volume of 30 ft3. Use a table…

A:

Q: A box with a square base has a volume of 3375 ft3 . Find the dimensions of the box that minimize the…

A: It's given that the box has a square base. However, nothing is said about the the height.  Let the…

Q: . A rectangular pen is built with one side against a barn. If 1400 m of fencing are used for the…

A: l+2w=1400; l=1400-2w; l=2(700-w); are=lw ; so, lw=2(700-w)w =(1400w-2w^2);  to maximize,…

Q: a. A rectangular pen is built with one side against a barn. If 1700 m of fencing are used for the…

A:

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A:

Q: A rectangular flower garden with an area of 42 m2 is surrounded by a grass border 1 m wide on two…

A:

Q: Example 6: A farmer in Ontario has 100 hectares which he wishes to fence as a rectangular field…

A:

Q: A rectangular pen is built with one side against a barn. If 1800 m of fencing are used for the other…

A: a) Assume that the length of the pen be x and width be y. Since the length of fencing on three sides…

Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

A:

Q: A rectangular pen is built with one side against a barn. If 1600m of fencing are used for the other…

A: a) Let the two parallel sides are x m and the third side= y m  So the total fence needed= 2x+y=1600…

Q: A rectangular page is to contain 75 square inches of print. The page has to have a 6​-inch margin on…

A: Let the length of the page be x and breadth of the page be y The area of minimized page is 75 sq…

Q: A rectangular pen is built with one side against a barn. If 1800 m of fencing are used for the other…

A: a) Let the two parallel sides are x and the third side= y So the total fence needed is = 2x+y=1800…

Q: (3) A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure…

A:

Q: A cardboard box without a lid is to have a volume of 16,384 cm³. Find the dimensions that minimize…

A: Volume of the cardboard =16,384 cubic cm let x= length of side of the box, h= height of the box y=…

Q: You want to construct a cardboard box with a square base and no top with volume 25cm^3   Find the…

A:

Q: box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the box…

A:

Q: You are designing a rectangular poster to contain 75 in? of printing with a 3-in margin at the top…

A:

Q: A rectangular corral of 726 square meters is to be fenced off and then divided by a fence into two…

A: I use second derivative test to find out dimensions where amount of required fencing minimum

Q: A cardboard box without a lid is to have a volume of 32,000 cubic centimeters. Find the dimensions…

A:

Q: A box with a square base and an open top must have a volume of 32,000 cubic centimeters. Find the…

A: let x denotes the length of the sides on the square base assume height of the box is h   Then the…

Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

A:

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 rectangular corral of 600 square meters is to be fenced off and then divided by a fence into two…

A: Given the area of the rectangle.

Q: Please solve and explain q#4.

A: Let x be the height , y and z be the dimensions of base of rectangular box, then volume is…

Q: A farmer has 800 feet of fencing with which to build a holding pin with a cattle shoot at one end as…

A:

Q: A 100 feet of fencing material is used to build a rectangular fence. (a) area and calculate the…

A: (a) Let the length and breadth of rectangular fence be x and y feet respectively. Perimeter of the…

Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Part (a) The diagram of the field is shown below. Given that, the total length of fencing is 2500…

Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

A:

Q: 3. (4.6) A rectangular flower garden with an area of 30 m2 is surrounded by a grass border 1 m wide…

A: Given information:A rectangular flower garden with an area of 30 m^2 is surrounded by a grass border…

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A:

Q: QI/ A box with rectangular sides was designed from a metal to occupies a 25 m³ of a material. If the…

A:

Q: .A Norman window has the outline of a semicircle on top of a rectangle, as shown in the figure.…

A:

Q: A closed top storage box with a square base has capacity of 64 m'. Find the dimensions that will…

A: A closed-top storage box with a square base has a capacity of 64 m3. We have to find the dimensions…

Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

A:

Q: A rectangular flower garden with an area of 306 m is surrounded by a grass border 1 m wide on two…

A: Let the length of the garden= x m and width= y m So the area=xy=306 From this we get: y=306x   So…

Q: A cardboard box without a top is to have a volume of 32,000 cm3 . Find the dimensions that minimize…

A:

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the…

A: Given: The area of the paper is 24 square inches. Consider the width of a printed part is x inches…

Q: rectangular flower garden with an area of 390 m2 is surrounded by a grass border 1 m wide on two…

A:

Q: A cardboard box without a lid is to have a volume of 32,000 cm^3. Find the dimensions that minimize…

A:

Q: A rectangular building covering 6,000m2 is to be built on a lot as shown in the figure. If the…

A: Minimize area