a rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence is set parallel to one side, cutting the plot into two smaller rectangles. If 312 meters of fence are available, what is the greatest area of land that can be fenced in this manner?

a rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence is set parallel to one side, cutting the plot into two smaller rectangles. If 312 meters of fence are available, what is the greatest area of land that can be fenced in this manner?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.5: Solve Applications Of Quadratic Equations

Problem 9.74TI: A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length...

See similar textbooks

Related questions

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

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

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 each 2 cm, and the side margins are…

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: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: Let x be the width and y be the height of the printed area.Then, it is given that xy=1536…

Q: A triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side…

A: Given A triangular-shaped deck. Let the shortest side be x feet. So according to the question; one…

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: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

A: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

Q: A farmer with 800 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the figure, the…

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

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 rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it…

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence…

Q: A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the…

A: we use second order derivative to find largest area

Q: There are 170 boxes with equal sides and sizes. What would be the size of each box in order to fit…

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

Q: A farmer has 1200 meters of fence and wants to construct a rectangular pasture. The pasture will be…

A: Explanation of the answer is as follows

Q: A garden plot is to contain 25 sq.m. If its length is to be twice its width, what should its…

Q: A cube shaped box has a volume of 125 inches. If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125 cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: A farmer with 780 ft of fencing wants to enclose a rectangular area and then divide it into four…

Q: You want to build a pen in the shape of a rectangle with two interior divisions. If you have 1000 m…

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

Q: A rectangular piece of cardboard, whose area is 143 square centimeters, is made into an open box by…

Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

Q: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation 5x +…

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 piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

Q: a person has a rectangular garden with a width of 2 feet and a lengh of 8 feet. to form a border of…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: The owner of the Rancho Grande has 3008 yd of fencing with which to enclose a rectangular piece of…

A: Given that the owner of the Rancho Grande has 3008 yds of fencing with which to enclose a…

Q: A developer wants to enclose a rectangular grassy lot that borders a city street for parkingthe…

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

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

Q: A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it…

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

A: Let l and w be the length and width of the rectangular plot. Use the formula A=lw, to find the area…

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: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 164…

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: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of…

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 farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four…

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: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: Trapezoidal and geometrical area

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

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

Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 132…

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 piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width, Find the distance between the opposite corners. Round to the nearest tenth.
A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length and what are the length and width of the tablecloth to the nearest tenth of a foot.?
Find the base and height of a triangle whose base is four inches more than six times height and hasan area of 456 square inches.
If a triangle that has an area of 110 square feet has a height that is two feet less than twice the width, what are its dimensions?
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
A rectangular tablecloth has an area of 80 square feet. The width is 5 feet shorter than the length. What are the length and width of the tablecloth? Round to the nearest tenth of a foot.