A rectangular study plot is bounded on one side by a river, and the other three sides are to blocked off by a fence. Find the dimensions of the plot that maximizes the area enclosed with 20 meters of fence.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: A farmer needs to take a rectangular plot of land and divide it into 6fields of equal area. He has…

A: First of all, construct the diagram as per the question.Let, l = length of the field. b = breadth…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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

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Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: A farmer wants to fence in 80,000m² of land and then divide it into three plots of equal area. Find…

A: The area of the fence is 80,000 m2. The divided area of three plot are identical to each other. So,…

Q: A farmer has 2000 ft of fencing for a rectangular piece of land. What are the dimentions that would…

A: Given, rectangular garden with perimeter 2000 ft.

Q: A rancher has 260 ft of fencing with which to build a rectangular corral alongside an existing…

A: Given A rancher has 260 ft of fencingLet the length of rectangle=x ftand width of rectangle=y ft

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5…

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Q: A poster of area 6000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the…

A: Let x and y be the length and width of poster in cm.  Area of poster is 6000 cm2 ,so we have

Q: A fence is to be built around a rectangular area of 36 square metres beside a building where one of…

A: Let x be the length and y be the width of the rectangle One side of the rectangle have no fence. So…

Q: is this question talking about a rectangle within a rectangle?

A: Find the dimensions for the whole poster.

Q: A rectangular portion of a pasture next to an irrigation canal is to be enclosed by a fence with no…

A: We have given a rectangular portion of a pasture. The area of the rectangular pasture = 87362 square…

Q: composed

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Q: A metal rain gutter is made from sheets of aluminum that are 12 inches wide by using a machine that…

A: Given that  sheets of aluminum that are 12 inches wide by using a machine that turns up the edges to…

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Let us assume the side of bird sanctuary along the river side is x km and other side is y km. Since,…

Q: Two hundred forty meters of fencing is available to enclose a rectangular playground. What should be…

A: Consider the given perimeter of the rectangle as P=240m

Q: A closed rectangular box is to be constructed with a base that is twice as long as it is wide. If…

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Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A: Let perpendicular side be x and parallel side be y. As, one side is river, Total length of fencing…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Here we use rhe application of derivative.

Q: a rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area…

A: 5. Notice that the dimensions of the poster are: Length = x +16, Width = y +24 Area of the Printed…

Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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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 farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

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Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in.…

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Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

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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: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A:

Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

A:

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

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Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use…

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Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of…

A: We have to find the maximum area.

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

Q: A one-story building having a rectangular floor space of 13200 ft2 is to be constructed where a 22ft…

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Q: . A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288…

A: It is given that the perimeter, P of the window is 288 inches and we have to radius of semicircle…

Q: An open box is to be constructed from a 12x12-inch piece of cardboard by cutting away squares of…

A: Let the cut away squares side is of x in. So, the dimension of the open box with height x, length…

Q: The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown angles…

A: use right angle triangle concept  pythagorean triplet use concept of maxima minima  permeter of…

Q: A farmer has 1200 m of fencing and wishes to enclose a rectangular area and then divide it into 6…

A: Given, A farmer has 1200 m of fencing and wishes to enclose a rectangular area and then divide it…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: A dog park wants to enclose a rectangular plot of land that borders a lake and hence only requires…

A: Let the length of the plot be x yards and width be y yards. As we have to cover 3 sides of the polt…

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

A:

Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

A:

Q: A rancher has 100 yards of fencing to enclose a rectangular corral next to a river. No fencing is…

A: x=width  y=length total fence length is p=100 yards p=2x+y 100=2x+y y=100-2x

Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

Q: Two chicken coops are to be built adjacent to one another from 144 ft of fencing. What dimensions…

A: For the given perimeter 144ft  of two chicken coops fencing  Dimensions can be calculated by…

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: First draw a picture and let the length of the bank of the river be l and then solve.