11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot into three equal pens by running two lengths of fence parallel to one side of the plot. What is the least amount of total fencing that he can use?

11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot into three equal pens by running two lengths of fence parallel to one side of the plot. What is the least amount of total fencing that he can use?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...

See similar textbooks

Related questions

Q: I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

Q: Reverse the order of integration and then evaluate [ [ 5y dy dx.

Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: 5. 6% a. x-2 dx 1-sin 2x 2 x-sin-x dx 2 + tan² x x + tan x - dx

Q: Consider the series. 8n (n+1)4²n+1 In this problem you must attempt to use the Ratio Test to decide…

Q: Find the equations of the tangent and normal lines to the graph of the function at the given point.…

A: The equation of the tangent line to the curve y= f(x) at x= a is The equation of the normal line…

Q: Perform the following operations and simplify the results. State the domain restriction in each…

A: The domain is the set of all possible input values for a which function is defined.

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

Q: 21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what…

Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

Q: Find the average value of the function g(t) = 1 + t over the interval [0, 4].

Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

A: Length of box=x feetWidth of the box=x feetHeight of the box=y feet The figure

Q: A 15 inches candle is lit and burn at a constant rate of 1 inches per hour. Let T represent of hours…

A: Given that a 15-inch candle is lit and burns at a constant rate of 1 inch per hour.Let T represent…

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the polar curve

Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: Estimate the area under the graph of f(x) = 3x³ between x = 0 and x=4 using each finite…

Q: Find the area bounded by y = 2 sin x, y = cos 2x from 0 ≤ x ≤ T. π. Round your answer to the…

A: Given that the region bounded by curves

Q: 17. Suppose you want to fence three sides of rectangular region where one side is bordered by a…

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A: Since the subparts a,b and c of question 1 have been answered i suppose you want the answer for part…

Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

A: Consider the integral

Q: There is at least one polynomial function which satisfies the conditions below. F(8)= 56; F'(x) is…

A: we have and F'(x) is non zerofind F(x)?

Q: Part: 0/2 Part 1 of 2 The domain offis Given that the domain of a one-to-one function fis [-3, -1]…

Q: Find the general Solution For D-E y + y tanx = [cos²x] y ¹

A: The given differential equation is

Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

Q: We turn now to the problem of finding area under a curve. Suppose we want to find the area between…

A: As per guidelines we can solve only 3 subparts if multiple subparts are posted. So I am solving…

Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

Q: cos(3x) = ² √2 2

A: Given that expression we have to find a solution

Q: Using double integrals, find the area of the region bounded by the curves x = y² = 1 and y = 2x…

Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Evaluate the integral. 1 2 (6x-2-6) dx (6x2-6) dx = (6x² 2 (Type an exact answer in simplified…

A: To evaluate the following integral.

Q: Find the slope of the tangent to f(x) = e" + 1 at the point (0,0).

A: Given that the function we have to find the tangent line at the point (0,0)

Q: Write in terms of sine and cosine and simplify the expression. cos A - 2 sin A cos A cos² Asin² A +…

Q: Compute the indicated quantity using the following data. 15 17 sin α = cos B cos e (a) (b) = 7 25…

Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…

Q: height (feet) of an object moving vertically is given by s= - 16t² +288t+216, where t is in seconds.…

Q: 1) Sketch the region whose area is given by the integral and find its area: √√x(1-x) dx 0

Q: Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

Q: Find the sum of the series: n=0 x³n-2 n!

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ft/min

Q: 12x 8 °-x X ³/₂ dx 3

Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: The given function is

Q: Find the distance d between the complex number - 2 + 4i and 0. d =

A: To find the distance between the complex number .

Question

11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot into three equal pens
by running two lengths of fence parallel to one side of the plot. What is the least amount of total fencing that he
can use?

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: Define the problem.

VIEW

Step 2: Define the length of total fencing required for the plot.

VIEW

Step 3: Find the derivatives.

VIEW

Step 4: Find the stationary points

VIEW

Step 5: Find the minimum value of total fencing.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 20 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
The roof of the house shown needs to be reshingled. a Considering that the front and back sections of the roof have equal areas, find the total area to be reshingled. b If roofing is sold in squares each covering 100ft2, how many squares are needed to complete the work? c To remove old shingles and replace with new shingles costs 97.50 per square. What is the cost of reroofing?