The sum of the perimeters of an equilateral triangle and a square is 18. Find the dimensions of the triangle and the square that produce a minimum total area. dimension of triangle dimension of square

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

A: topic - application of derivatives

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A: A printer receives an order to produce a rectangular poster with a print area of 960 square inches…

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81…

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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Q: *. .. The sum of the perimeters of an equilateral triangle and a square is 21. Find the dimensions…

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Q: A cable that has 50 cm is divided into two parts. One part is used to make an equilateral triangle…

A: Length of cable = 50 cm

Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: The sum of the perimeters of an equilateral triangle and a square is 15. Find the dimensions of the…

A: To find the dimension of triangle.

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81…

A: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81…

Q: On the same side of a straight road are two towns, and the townspeople want to build a waste…

A: ------------------------------------------------------------------------------- Total pipe line…

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area.…

A: Let the length be x meter and width be y meter. So Perimeter=2(length + width)176=2(x+y)88=x+yx=88-y

Q: Find the dimensions of a rectangle with area is 120 m² whose perimeter is as small as possible

A: topic - application of derivatives

Q: A rectangular sheet of metal is twice as long as it is wide. Squares by 3cm by 3cm, are cut from…

A: Let the breadth of the rectangle sheet be b Then, length of the sheet will be 2b Now, square by 3 cm…

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

A: Given that: Sum of perimeter of an equilateral triangle and a square is 10

Q: the perimeter of a quadrilateral (four sided polygon) is 54 inches. The longest side is three times…

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 32…

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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: - The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions…

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 34…

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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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: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 49…

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Q: Find the dimensions of the rectangle of area 100 square units that has the least perimeter.

A: Solution:- Area of rectangle=100   Let assume Length of rectangle=x breath of rectangle=y   Area of…

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Q: A piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

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…

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A: Topic :- Area

Q: A 4-pen kennel of 2,560 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: Part-1

Q: A farmer plans to make 3 identical and adjacent rectangular pens, using an existing wall as one…

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

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

A: let the side of equilateral triangle is x and side of square is a. therefore according to…

Q: Find the length and width of a rectangle that has perimeter 48 meters and maximumarea.

A: Let l and b are the length and width of a rectangle.Perimeter of the rectangle is 48 meters.That is,…

Q: Find the length and width of a rectangle with an area of 32 square feet with a minimum perimeter

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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

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: The given Perimeter P = 48 m Let length of rectangle l = x  Width = b

Q: The perimeter of a rectangle is to be no less than 72 centimeters and the width must be 17…

A: In the question we have to find minimum length of the rectangle.

Q: The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than…

A: Let the shortest side= x cm  so the longest side= 3x cm  third side= 3x-2 cm

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: A stained glass window will be created as shown at the right. The cost of the semi-circular region…

A: Given: Total perimeter = 50 feet Cost of semicircular region = $10 per sq. ft. Cost of rectangular…

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

A: Given , The sum of the perimeters of an equilateral triangle and a square is 10.

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area Perimeter:…

A:

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

A:

Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used…

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: framer has 160 feet of fencing to enclose two adjacent rectangular pens. what dimensions should he…

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 121…

A: We have to find

Q: Some airlines have restrictions on the size of items of luggage that passengers are allowed to take…

A: The given problem is solved below in detail.

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: The area of the rectangular land is 1800 sq feet. let the side parallel to divider be y and the side…

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

A: Let x be the side of equilateral triangle and y be side of square . Then respective perimeters are…