Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

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A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: A farmer has 2000 yards of fence to enclose a rectangular field. What are the dimensions of the…

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Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

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Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible. (If…

A: Let x and y be the length and width of the rectangle. Now given that the area of the rectangle is…

Q: Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible. (If…

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Q: A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What…

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet…

Q: a rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence…

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Q: A rectangular room is 22 meters longer than it is wide, and its perimeter is 2020 meters. Find the…

A: Please refer the attached image for complete solution. THANKYOU.

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of…

A: To find the dimensions for minimum area, we need to find function of area in terms of either width…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in an equilateral…

A: Use property of equilateral triangle and rectangle to solve this

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

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

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Q: A rectangle garden has a circumference of 80mm. What is the maximum possible area of the garden?

A: Given: The perimeter of a rectangular garden is 80mm. A rectangle will have equal sides opposite to…

Q: Find the maximum area of a rectangle with perimeter 8000 feet?

A: Let length of the rectangle= x feet  Width= y feet  So, perimeter= 2(x+y)=8000

Q: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

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

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Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: A rancher has 204 meters of fencing from which to build two corrals: one square and the other…

A: To find: The dimensions that result in the greatest combined area. Given information: A rancher has…

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

A: Let the width of the rectangular field is w. since the farmer has 2400 feet of fencing.  so the…

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

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: The sum of the length and girth (perimeter of a cross-section) of a rectangular carried by a…

A: Look at the figure for the required package.

Q: You have to cut four equal squares from each corner of the 8.5" x 11" paper in order to make an open…

A: The volume of a cuboid is given by the formula V=l×w×h. Here, l is the length of the box, w is the…

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 farmer wants to fence in an area of 200 square feet in a rectangular field and then divide it in…

A: Given Area of rectangular field =200 square feet

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

Q: Find the dimensions of a rectangle of area 255 square centimeters that has the least perimeter.…

A: Given  The a rectangle of area 255 square centimetres .

Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: A farmer has a rectangular garden plot surrounded by 200ft of fencing find the length and width of…

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

A: Given:         Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 4 cm. If the area of…

A: Let's find.

Q: A farmer has 900ft of fencing and wants to fence off a rectangular vegetable field. What are the…

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Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

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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: Find the dimensions of the rectangle of largest area that canbe inscribed in an equilateral triangle…

A: Solution:- We have to find the  dimensions of the rectangle of largest area that canbe inscribed in…

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

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Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: The footpath of uniform width runs all around a rectangular field 28 meters long and 22 meters wide.…

A: Given Let x be the width of foot path

Q: find the dimensions of a rectangle with perimeter 100m whose area is as large as possible

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

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

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Q: You are to fence off two rectangular garden beds of the same size in such a way that they share one…

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Q: Find the length and width of a rectangle that has 80 meters perimeter and a maximum area.

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

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Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…