A rectangular lot is to be enclosed with a fence. A building is on one side of the lot,so it won't need any fencing. Find the dimensions of the field having the largest area that can be enclosed with 500 ft. of fencing materials

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A: Let Width = x cm     Height = y cm Width = x-16 Height = y -12

Q: An open rectangular box with square ends to hold 6400 cu ft, is to be built at a cost of $75 per sq…

A: Given that, An open rectangular box with square ends to hold 6400 cu ft. Thus, V= x2 y. 6400 = x2y…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

A: Assume that the dimension of sheet metal = x feet

Q: Afarmer owns 1000 m of fence and wants to enclose the largest possible rectangular area. The region…

A: we use second derivative test to find dimensions where area is maximum

Q: A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners…

A: We have given; A rectangular parcel of land is 70 ft longer than it is wide and the diagonal is 130…

Q: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. What are its dimensions?

A: Given: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. To Find: Dimensions…

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A:

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: A supermarket employee wants to construct an open-top box from a 14 inches by 30 inches piece of…

A: Use the figure to find the length, width and height for the box. So, the length = (30 – 2x) inches.…

Q: The width of a rectangular cardboard is 10 inches longer than its width. Squares of 2 inches on a…

A: Let the width of the rectangular cardboard be ‘a’.According to the question, the length is 10 inches…

Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plotthat borders on a straight…

A: Total fencing is 2000 meters. Let x be the width of the rectangle, then the length of the rectangle…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: A rectangle has an area of 160 cm and a perimeter of 52 cm. What are its dimensions? Its length is…

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Q: A rectangle has an area of 160 cm? and a perimeter of 56 cm. What are its dimensions? Its length is…

A: Area of rectangle is length×widthPerimeter of the rectangle is 2×length+width

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A:

Q: A rectangular building lot is 8 ft longer than it is wide and has an area of 2900 ft. Find the…

A: Given: Area of the rectangular building = 2900 ft2 To determine: The diamentions of the rectangular…

Q: A rectangular box made of recycled carton papers has a capacity of 2880 cu. cm. and surface area of…

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Q: A rectangular plot of land is to be seeded with grass.  If the plot is 18 m by 20 m and a 1kg bag of…

A:

Q: The owner of the Rancho Grande has 2,980 yds of fencing with which to enclose a rectangular piece of…

A:

Q: A toy manufacturer needs a piece of plastic in the shape of a right traingular with one leg 8 cm…

A:

Q: Find the dimensions of a rectangle with a perimeter of 160 ft that has the largest possible area.…

A: Perimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven: Perimeter = 160

Q: A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards,…

A:

Q: If area of a rectangular ground is 12500 m^2. Length is 125m. Its perimeter will be ?

A: It is given that,  Area, A=Length ×Breadth=12500 m2 Length, L=125 m Therefore,…

Q: A wire 20 inches long will be cut into two parts, one to be bent to form a square and the other to…

A: We have to find side of Square and diameter of the circle

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

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Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A:

Q: A rectangular pool is to be built on a lot that measures 20 m by 12 m. A lawn uniform width, equal…

A: formula used are  * quadratic formula = for equation ,ax^2 + bx + c =0 =  [- b +…

Q: here is a rectangular lot in the garden, with 8 ft in length and 6 ft in width. You plan to expand…

A:

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Let the width of the printed area= x And the height of the printed area=y  Area of the printed…

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

A:

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 14 cm. If the area of…

A:

Q: A farmer wants to construct a rectangular pigpen using [ 100 ] ft of fencing. The pen will be built…

A: we know that the area of rectangle = length × width and length of the fencing = 100 ft So we can…

Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A:

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft2ft2. What are its…

A:

Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: The front face of a tent is triangular and the height of the triangle is two-thirds of the base. The…

A: Let us assume that the base of the front face= x So the height = 2x3 Length = x+3  Given volume =…

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: We can find the dimension of the yard as below.

Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are 2 cm and the side margins are each 6…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If…

A:

Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: a landscape architect is designing a rectangular flowerbed to be border with 28 plants that are…

A:

Q: The area of the front cover of a daily journal is 273 cm², and the length is 8 cm greater than the…

A: Here vine that  Area of the front cover=273cm2 Let the breadth of the cover= x cm so,…

Q: The top and bottom margin of a poster are 6 cm and side margins are each 4cm. If the area of the…

A:

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

A: