5. A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800 meters of wire at your disposal, what are the dimensions of the largest area you can enclose?

Q: a worker has 750ft of fencing and he wants to build a fence enclosing a rectangular region and the…

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Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

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Q: 3. A rectangular pea patch with total area 128 m² is to be enclosed by a fence and divided into…

A: Consider the given rectangular pea patch with dimensions x m by y m. The area of the rectangular pea…

Q: 10. A rancher has 600 yards of fencing to enclose two adjacent pig pens that rest against the barn.…

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Q: 3. A farmer has 1,200 meter of fencing and wants to fence off a rectangular field that borders a…

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Q: 6. A rectangular area of 3200 ft² is to be fenced off. Two opposite sites will use fencing costing…

A: Solution:- area of rectangle= length * breadth

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

A: Total length of wire is =800 m It is given that A rectangular plot of  farmland will be bounded on…

Q: 2. The officer of Oro Vista subdivision planned to build a basketball court with dimension of 30…

A:

Q: The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base was…

A: The altitude of the Great Pyramid of Cheops is h=480 ft and its square base was a=764 ft on an edge.…

Q: . A rectangular lot has an area of 240 m². What is the width of the lot if it requires 64 m of…

A: Let's find.

Q: . A cube has 30 cm on each side, what is its volume in cubic meters?

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A: Given: Length of pool = 12 meter Breadth of pool = 8 meter  The area of rectangular border must be…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: 11. If the radius of a circle is doubled, what happens to its area? What if the radius is tripled?…

A: We know that the area of a circle is given by : Area of circle = πr2 where, r is the radius of the…

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

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

A:

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

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Q: 18 The rectangles of heights 6, 5, 4, 3, 2, 1 give a total estimated expense of triangle to show why…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

A:

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

A:

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: (b) Consider a square whose side is 1 unit. If the measure of its side is doubled, what will be its…

A: the side of the square is 1 unit. the area of the square is given by Area = side2 substitute the…

Q: For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 32 square…

A: Given data- Area of rectangle= 32 square feet. The fencing of east and west side costs= $4 per foot.…

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the…

Q: 5. What is the largest rectangular area a farmer can enclose using 60 meters of fencing material?

A:

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

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

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

A:

Q: For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 50 square…

A: Given that for tax reasons, we need to create a rectangular vegetable patch with an area of exactly…

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

Q: 8. US Postal Service regulations state that the length plus the girth of a package cannot exceed 108…

A: Take length of box = y width = height = x girth = 2*width +2*height         = 2x+ 2x          = 4x

Q: [5] A farmer with 2000 meters of fencing wants to enclose a rectangular plot for planting that…

A:

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by…

A: Consider the equation

Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

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

A: Let a and b be the sides of a retangular fence.

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

Q: 4. What is the largest area possible for a rectangle whose pe- rimeter is 2021 cm, and what its…

A: Let the length and  breadth of the rectangle are x cm and y cm respectively. Then, area of…

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

A: This question involves the concept of find the local extrema using calculus.

Q: A square pool was surrounded by 3 meters wide Bermuda grass. If the total area of the sidewalk and…

A: Explanation: Given that,  Width of sidewalk = 3 m Total Area = 196 sq. m     Formula Used: Area of…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…