The Perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square feet when its length and width are both 5 feet. Are there dimensions that yield a minimum area? Explain.

Q: A rectangle has a perimeter of 40 inches. What are the dimensions (width and length) of the…

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

A: Let's find.

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A: To find the dimension of triangle.

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

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A: Maximum area =200 square meter.... For detail...go through the solution....I have done solution step…

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

Q: Find the length and width of a rectangle that has an area of 1,152 square feet and whose perimeter…

A: Given:Area=1152 square feetFormula:Perimeter of rectangle=2l+wArea of rectangle=l×w

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Q: The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what…

A: Given:The box (or cuboid) has the height 8 inches(i.e. h = 8 in.) and the perimeter of the top of…

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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: a peck of grapes cost $2 each, or 4 pecks for $7. what is the minimum cost for 27 pecks

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Q: Find the length and the width of a rectangle that has perimeter 80 cm and a maximumarea

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Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: Find two numbers whose difference is 118 and whose product is a minimum;

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Q: An animal shelter has 160 feet of fencing to enclose two adjacent rectangular playpenareas for dogs.…

A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

Q: The perimeter of a rectangle is to be no greater than 80 centimeters and the width must be 10…

A: let length be x and width is given to be 10. Perimeter of a rectangle is defined as 2(length +…

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

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

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…

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Q: Find two numbers whose difference is 166 and whose product is a minimum.

A: Topic = Algebra

Q: Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per gigabyte, or part of…

A: Given: Flat cost per month = $66 Cost per gigabyte(or part of gigabyte) = $5       To determine: The…

Q: A rectangular poster is to contain 722 square inches of print. The margins at the top and bottom of…

A: Follow the procedure given below.

Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

Q: A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If…

A: Rectangular area is to fenced from three sides and by wall to one side.

Q: You have 40 feet of fence to enclose a rectangular garden with two subdivisions. What is the maximum…

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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: Pedro wishes to use 100ft of fencing to enclose a rectangular garden. Determine the maximum possible…

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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: 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 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: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

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

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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 two numbers whose difference is 154 and whose product is a minimum.

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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: 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: The perimeter of a rectangle is to be no greater than 100 centimeters and the width must be 15…

A: Perimeter of rectangle = 2 ( length + width)  Given width = 15 cm  and  perimeter of a rectangle…

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: You are going to mark out a rectangular area with rope and divide it into smaller areas. One side of…

A: Given information: A rectangular area is divided by ropes into smaller parts. One side of the larger…

Q: The base of a triangle measures 40 inches minus twice the measure of its height. For what measure of…

A: Let h is the height of the triangle Then, according to question  base=40-2h Then…

Q: Under her cell phone plan, Autumn pays a flat .cost of $66 per month and $5 per gigabyte, or part of…

A:

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…