Find the length and width of a rectangle that has an area of 1,152 square feet and whose perimeter is a minimum

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

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

A: Let the length of rectangle =  x feet Width = y feet Area = xy = 25 y=25x

Q: The sum of two numbers is 5. Find the minimum value of the sum of their cubes.

A: Let the first number be x. Let the other number be y.   Thus, x+y=5y=5-x   The sum of the cubes of…

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: *. .. The sum of the perimeters of an equilateral triangle and a square is 21. Find 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: 121…

A: To find the length and width

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the…

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum…

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: Can you please answer this question and show the steps

A: Given: The two numbers whose difference is 236 and whose product is minimum.

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: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 104 in. and…

A: Let, Length = L inches. Width = W inches. Given that the perimeter = 104 inches. That means:…

Q: Find two positive numbers whose product is 25 and whose sum is a minimum. (If both values are the…

A: Given: Two number whose product is 25.

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

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Q: Find two positive numbers whose product is 49 and whose sum is a minimum. (If both values are the…

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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: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

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Q: Find two numbers whose sum is 10, and the sum of whose squares is a minimum. Please put 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 a rectangle with an area of 36 square feet that has the minimum perimeter.…

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Q: A rectangle has a perimeter of 40m. What could be the maximum area of the rectangle?

A: A rectangle has a perimeter of 40 m. Let x and y be the length and width of the rectangle. Now…

Q: Suppose there is a rectangle with length L and width W (W < L) (in inches) that has an area of 324…

A: Given: Area = 324 sq.in             L x W=324             L=324W Perimeter P=2(L+W)     Substituting…

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

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Q: manufacturer estimates that the cost (C) of production of (x) units of a certain item is ? = 40? −…

A: Given query is to find the production level for minimum cost.

Q: Among all pairs of numbers whose difference is 24, find a pair whose product is as small as…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A 17 cm x 11 cm open rectangular box is to be constructed by cutting square corners out of a piece…

A: Let the sides of square be x cm then the dimensions of the box will be as follows Dimensions of box…

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: Find three numbers whose sum is 9 and whose sum of squares is a minimum. The three numbers are.

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Q: Find the length and width of a rectangle that has an area of 75 square feet and a minimum perimeter.…

A: We have to find length and width of the rectangle.

Q: Find two numbers whose sum is 36 if the sum of their squares is to be a minimum.

A: Let, The first number be x. As the sum is 36. Therefore, The second number is 36 - x.

Q: Find the length and width of a rectangle with perimeter 196 and whose area is a maximum. Assume the…

A: Let the length of the rectangle is l              width of the rectangle is w.

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: 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: Of all numbers whose difference is 6, find the two that have the minimum product.

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Q: Find two numbers whose difference is 20 and whose product is a minimum.

A: Given informationDifference of two no. is 20

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: 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: The sum of the perimeters of an equilateral triangle and a square is 18. Find the dimensions of the…

A: Given that the sum of perimeter of equalatral triangle and square=18To find :dimention of…

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: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 5A…

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Q: Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the…

A: first we find factors of 64 2   64 2   32 2   16 2    8 2    4  2    2  1 therefore  64= 2 x32 and…

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

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Q: Find three numbers whose sum is 9 and whose sum of squares is a minimum.

A: Construct a system for optimization using the information that, the three numbers whose sum is 9 and…

Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

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

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Q: Determine the maximum and minimum values ​

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