A wire of length Lis cut into pieces, one being bent to form a square and the other form an equilateral triangle. How the wire should be cut: if the sum of the two areas is minimum. if the sum of the two areas is maximum

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

A: given

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A: To find out the dimensions of minimum cost.

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

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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 closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Let's find dimension for minimum cost of given rectangular box.

Q: Three equally sized rectangular lots are enclosed by fencing the perimeter of a large rectangular…

A: Figure Three equally sized rectangular

Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

A:

Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: A 4-pen kennel of 3,240 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: find the dimension of the given figure

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

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Q: A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Maximum Area = 160652…

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

A: It is given that a wire of length 10 units to be cut into two pieces. Let one piece of wire be x…

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular…

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of…

A: The sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right The…

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Q: he sum of the perimeters of an equilateral triangle and a square is 23. Find the dimensions of the…

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Q: rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along…

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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 piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

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

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance…

Q: An end of trough is in the shape of an isosceles trapezoid whose area is 216 i. If each of the…

A: Area=sum of bases2*height

Q: 1. A 12-meter wire is cut into two pieces so that x meters will be used to form a circle and the…

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Q: A wire of length L is cut into pieces, one being bent to form a square and the other form an…

A: Assuming that the wire is cut in 2 pieces of length x and L-x where the first is used to make a…

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

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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: The cross-section of a trough is an isosceles trapezoid. If the trough is made by bending up the…

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

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Q: 2. Find the length and width of a rectangle that has an area of 64 square feet and a minimum…

A: Find the length and width of the rectangle

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Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

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Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: he cross-section of a trough is an isosceles trapezoid. If the trough is made by bending up the…

A: Here we have, The cross-section of a trough is an isosceles trapezoid. The trough is made by bending…

Q: )A wire of length L is cut into pieces, one being bent to form a square and the other o form an…

A: Given problem is :

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A: Given that, the length of the wire is 12 inches. Note that, the formula for area of the circle is…

Q: ) Ivan is laying out a page of a newspaper. He knows he needs to get 50 square inches of text on the…

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Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

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

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Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

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Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.…

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Q: Three sides of a trapezoid are 8 inches in length. How long must the fourth side be, so that the…

A: Given: Three sides of a trapezoid are 8 inches in length. Let the fourth side of trapezoid be 8+2x…

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 piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

A:

Q: You are given a rectangular piece of paper that has length x=35.4 cm and height y=28 cm. The lower…

A: Since, we have been given a rectangular piece of paper that has lengthx=35.4 cm and height y=28 cm.…

Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

A: Let's find.

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A: