5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND REQUIRING ONLY THREE SIDES TO BE FENCED. DEC

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

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

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Q: 7. Determine the minimum surface area required to enclose 280cm' in a cylinder.

A: 7)  Surface Area of cylinder=2πr2+2πrh Volume of cylinder=280 cm3   V=πr2h=280 cm3 πr2h=280…

Q: 4. Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if…

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Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

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

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

A: Given that, Total length= 120 m

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A: Given problem is : Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular…

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: A farmer wants to secure a certain part of his land. Calculate the maximum area of a rectangular lot…

A: Given: total length of fencing material of rectangular plot = 1000m

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.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

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Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

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Q: A farmer wants to construct a rectangular pigpen using [ 100 ] ft of fencing. The pen will be built…

A: Given data: The total length of fencing is 100 ft. Consider the length of AB=x. Consider the length…

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

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: 2. Postal regulations require that the sum of the length and girth of a rectangular package may not…

A: Let, length of side of square is, x and length of box is y  Postal restrictions are such that…

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: A rectangular parking area measuring 5000 ft? is to be enclosed on three sides using chain-link…

A: The explanation of answer as follows

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

A:

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

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: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

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Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

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

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Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the…

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 poster must have 32 sq. in with margins of 4" each at t side. Find the dimensions o"

A: Given: A poster must have 32 sq. in. of printed matter.

Q: A farmer wants to construct a rectangular pigpen using [ 100 ] ft of fencing. The pen will be built…

A: we know that the area of rectangle = length × width and length of the fencing = 100 ft So we can…

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

Q: Building Play Area

A:

Q: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

A:

Q: 1. find the dimenstors of a maximum Lwithout a top of capacity, 108 sq. cm. box who de Sunface area

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Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: 7. Determine the minimum surface area required to enclose 280cm in a cylinder:

A: It is given that, Volume of cylinder, V=280 cm3   It is known that, volume of cylinder is, V=πr2h…

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

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Q: Engr. Lagrazon wants to build a farm using a fence but already have an existing wall. He has 60m of…

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Q: Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 6 cents per…

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Q: The volume of the closed cylindrical tank is 11.3 m³. If the total surface area is a minimum, what…

A: In this question, concept of volume and surface area of cylinder is used. Volume and Surface area of…

Q: A fencing is limited to 50m length. What is the maximum rectangular area that can be fenced in using…

A: Recall:  Area of rectangle=length*breadth

Q: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the…

Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: 4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.

A: