2 2. A rectangular playing field is to have area 600 m . Fencing is required to enclose the field and to divide it into two equal halves. Find the minimum length of fencing material.

Q: A piece of wire 40 cm long is to be cut into two pieces . One piece wil bent to form a circle, the…

A: The total length of the wire is 40 cm and one piece is to be formed into a circle and another one is…

Q: 2. A three-sided fence is to be built next to a straight section of river, which forms the fourth…

A:

Q: 4. An open-top box with a square bottom and rectangular sides is to have a volume of 256 cubic…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 9,600 square meters.…

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: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

A:

Q: two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A:

Q: 2. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain…

A:

Q: Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A: Given,  Two cities A and B are 8 km and 12 km respectively , north of a river which runs due…

Q: A triangle has variable sides x, y, and z subject to the constraint such that the perimeter is fixed…

A: Given that , The sides of triangle are x,y and z and perimeter = 18 cm ⇒x+y+z=18  Find maximum…

Q: 6. A rectangular area of 3200 ft² is to be fenced off. Two opposite sites will use fencing costing…

A: Solution:- area of rectangle= length * breadth

Q: Find the minimum cost of a rectangular box of volume 170 cm3 whose top and bottom cost 5 cents per…

A:

Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

A:

Q: 7. A manufacture want to design an open box having a square base and a volume of 256 cm³. What…

A: Given problem is :

Q: 9. The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000…

A:

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an…

A:

Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: 4. A farmer needs to fence a rectangular area of 1600 a. Determine the dimersions of the rectangular…

A:

Q: Farmer Tullamre wants to lay new sod on a piece of land that measures 30ft by 100ft. If sod is sold…

A: He should buy minimum 37 stripes.

Q: 2. Helmut, an ostrich farmer, wants to build a rectangular fenced enclosure divided into five…

A: Given that, Total length= 120 m

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

A:

Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

A:

Q: A worker is to construct an open rectangular box with a square base and a volume of 128 ft. If…

A:

Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

Q: 1. A landowner wants to build a fence to enclose a rectangular lot. There will also be two other…

A:

Q: (2) A rancher wants to construct a rectangular pen by extending an existing 100 ft stone wall by an…

A: Let the length along the stone wall be x. And take the width to be y. Then the length of fencing…

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

A:

Q: 3. Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A:

Q: A rectangular room is 5m and 6 cm long AND 3.96 m wide. Determine the largest size of a square tile…

A: Convert the length and width in centimetres than take the highest common factor and that factor will…

Q: A worker is to construct an open rectangular box with a square base and a volume of 128 ft, If…

A:

Q: 18 The rectangles of heights 6, 5, 4, 3, 2, 1 give a total estimated expense of triangle to show why…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. (10 points) An open top storage container is to be made in the form of a right circular cylinder…

A: Given,Right circular cylinder,volume=28π m3material for the side cost $3 per m2and material for the…

Q: 12. The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of…

A: Given: The objective is to find the dimensions of square and an equilateral triangle whose perimeter…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

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: Find the minimum cost of a rectangular box of volume 180 cm³ whose top and bottom cost 4 cents per…

A:

Q: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

A:

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

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

A:

Q: 19. If the farmer in Exercise 18 wants to enclose 150 square meters of land, what dimensions will…

A: The minimum of a function can be obtained at the point where the slope of the function is 0. The…

Q: 1. Find the dimensions of a rectangular box with a square base and no top that has a volume of 100…

A: Solve By minimizing surface area

Q: 4. A television manufacturing firm needs to design an open-topped box with a square base. The box…

A: Here we have to follow the steps according to the question information to get the answer so I'm…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A: Given:- A company is constructing an open-top, square-based, rectangular metal tank that will have a…

Q: The City Council proposed to utilize government-owned land with an area of 15,000 square meters.…

A: Main land area is given 15000 square meters. One-third of the area will be used to plant mango trees…

Q: 8. US Postal Service regulations state that the length plus the girth of a package cannot exceed 108…

A: Take length of box = y width = height = x girth = 2*width +2*height         = 2x+ 2x          = 4x

Q: From a tract of land, a developer plans to fence a rectangular region and then divide it into two…

A:

Q: 18. A farmer intends to make four identical rectangular pens each with an area of 100 m² as shown in…

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: A box with a square base and open top must have a volume of 2500 cm3. What is the minimum possible…

A: Let's assume the sides of the square base = a and height of the box = h  So, the volume of the box =…

Q: 4. West Coast Customs is constructing and open-top, square-based, rect- angular subwoofer box that…

A: West Coast Customs is constructing and open-top, square-based.rectangular subwoofer box that will…