Find the dimensions of a rectangle of area 144 ft^2 that has the smallest possible perimeter

Q: If the farmer has 162 feet of fencing, what are the dimensions of the region which enclose the…

A: Let dimesnion of the region is x and ysince, the farmer has 162 feet of fencingtherefore,…

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

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Q: 3. A rectangular pea patch with total area 128 m² is to be enclosed by a fence and divided into…

A: Consider the given rectangular pea patch with dimensions x m by y m. The area of the rectangular pea…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

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Q: Consider a sheet of metal in the form of a right triangle with base 36 inches and height  20 inches.…

A: Consider a sheet of metal in the form of a right triangle with base 36 inches and height 20 inches…

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Q: A rectangular piece of cloth with a length of 1.50 meters and a width of 0.80 meters must be divided…

A: We have given the rectangular piece of cloth we have to divide it into  10 equal sized units. as…

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

A: Total length of wire is =800 m It is given that A rectangular plot of  farmland will be bounded on…

Q: A wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle.…

A: Let the circle will have x m and the square will have (12-x) m So the circumference of the circle =…

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

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in an equilateral…

A: Use property of equilateral triangle and rectangle to solve this

Q: A landscape architect wishes to enclose a rectangular garden of area 1000 m2 on one side by a brick…

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Q: A rectangle is inscribed in a right triangle. If the triangle has sides of length 5, 12, and 13,…

A: Let x and y be the length and breadth of the rectangle inscribed in the triangle. Let us take the…

Q: what is the largest area

A: Given, A rectangular plot of farmland will be bounded on one side by a river and on The other three…

Q: Find the area of the largest rectangle that can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

Q: A rectangular field of fixed area is to be enclosed and divided into three lots by parallel to one…

A: Given: A rectangular field of the fixed area is to be enclosed and divided into three lots parallel…

Q: Find the rectangle whose vertex is haveng on possible max comum area

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Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Modelling the problem: Let the three dimension be x, x and y .Since base is a square base.   also…

Q: Find the volume of the largest parallelopiped with faces parallel to coordinate planes that can be…

A: The volume of the largest rectangular parallelepiped that can be inscribed in the ellipsoid So, The…

Q: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

A: Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

Q: 17) Which describes how the area of a triangle will change if the dimensions are all enlarged by a…

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Q: What are the dimensions of a closed rectangular box that has a square cross section and a capacity…

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Q: 5. Determine the area of the largest rectangle inscribed in a semi-circle of radius 2.

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Q: Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width,…

A: Since the base is square, let the three-dimensional be x, x and y. Since they are lengths x,y,>0…

Q: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

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Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

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 the rectangle of largest area that can be inscribed in an equilateral…

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

A: SOLUTION-

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

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: A builder intends to construct a storage shed having a volume of 900 cubic feet, and flat roof, and…

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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: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

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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: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given the figure:

Q: Determine the dimensions of the rectangle of rectangle of the largest area that can be inscribed in…

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Q: If an open box is made from a metal sheet 33 in. by 33 in. square by cutting out identical squares…

A: Given information: The length of the square is 33 inches that has been transformed to cuboidal box…

Q: A Photo Paper with margins of 1.00 inch at the top and bottom and 1.50 inch at the sides is to…

A: Let x and y be the width and length of the page (measured in inches). Given that the area of print…

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

A: Let a and b be the sides of a retangular fence.

Q: A 60 m long pipe of metal is cut into two pieces. One piece is used to form a square and the other…

A: Perimeter of square =4a 4a=x Perimeter of triangle =3b 3b=60-x b=(60-x)/3

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: Find the dimensions of a rectangle of area 324 ft2 that has the smallest possible perimeter.…

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Q: Suppose an airline policy states that all baggage must be rectangular with a sum of length, width,…

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Q: What are the dimensions of the base of the rectangular box of greatest volume that can be…

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