A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 132 feet of fencing, what is the largest area the farmer can enclose?

Q: A farmer wishes to enclose a plot of land according to the figure. If he has 450 feet of fencing,…

A: Given: Width=x Length=y

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

A:

Q: A wood gate is being built and the frame is a rectangle with a diagonal. If the horizontal side is…

A:

Q: If the perimeter of a rectangle is 38 cm and the area is 84 square cm, then what are the dimensions…

A:

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: The dimensions of the Olympic pool is 50m length, 25m width and 3 m depth

Q: If you triple the the dimensions of a rectangle, the result is that the new perimeter is

A:

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

A:

Q: A farmer wants to make two identical rectangular enclosures next to his barn, as shown below. If he…

A:

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: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A:

Q: If the perimeter of an rectangle is 45cm and the length is 9cm then what is the width

A: If the perimeter of an rectangle is 45cm and the length is 9cm then what is the width.

Q: An isosceles trapezoid has a perimeter of 60 inches and a height of 8 inches.  If the shorter base…

A:

Q: Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: A farmer has 300 ft of fencing and wants to enclose a rectangular area of 3600ft^2 what dimensions…

A: A farmer has 300ft of fencing and wants to enclose a rectangular area of 3600 ft2.

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width, as shown in the…

A: Given a pool measuring 10 meters by 20 meters is surrounded by a path of uniform width and area of…

Q: Find the perimeter of an isosceles triangle whose equal sides measure 6 1/2 inches and whose third…

A: We have to find the perimeter of an isosceles triangle whose equal sides measure 612 inches and…

Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

A:

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 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: If the perimeter of a rectangle is 28 cm and the area is 45 square cm, then what are the dimensions…

A:

Q: If a square has a perimeter of 36. What is the area?

A:

Q: If the perimeter of a rectangle is 30 cm and the area is 50 square cm, then what are the dimensions…

A:

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: Let the adjacent of side be x ft. then the other side will be be 5x ft. The area of rectangular…

Q: 3. A farmer has 600 feet of fencing and wants to fence off a rectangular pasture with two pens. What…

A: Answer

Q: A garden is to be laid out in a rectangular area and protected by a wire fence. What is the largest…

A: Given: We have to find the largest possible area of the rectangular garden, 100 running feet of the…

Q: A rancher with 600 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: According to the given problem we have the fencing required 2l + 5w = 600  {Perimeter}where l =…

Q: The following figure shows that 5"-by-5" square tiles can be used to cover a floor that measures 45"…

A: a) The square tiles having its sides as a divisor of 45 would be able to cover the width of the…

Q: The owner of the Rancho Grande has 3,044 yd of fencing with which to enclose a rectangular piece of…

A: Given Data: The length of the fencing is: P=3044 yd Let, x and y are two dimensions of the river.…

Q: An athletic field is a 40 yd​-by-80 yd ​rectangle, with a semicircle at each of the short sides. A…

A:

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: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: Given that, Length of pool is 50 meters Width of pool is 25 meters Depth of pool is 3 meters Client…

Q: A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to…

A: Let the radius of large sphere be x. The volume of the large sphere is 43πx3. Model the equation for…

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

A:

Q: The Pyramids of Giza are not the same in size:The length of a side of the Great Pyramid of kufu is…

A:

Q: A quadrilateral with sides 8 cm. 9 cm, 6 cm. and 5 cm has area 45 cm2. Find the area of a similar…

A: Quadrilateral : A quadrilateral with sides 8 cm, 9 cm, 6 cm, 5 cm. The area is 45 cm2.

Q: 10. A farmer wants to fence in two rectangular garden plots, twice as long as wide, situated along a…

A:

Q: The length of a rectangle is twice its width. If the perimeter of the rectangle is 60 in, find its…

A:

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the…

A:

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

A: First draw the figure accordingly and solve:

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

Q: The owner of a ranch has 1,000 yards of fencing material with which to enclose a rectangular piece…

A:

Q: A farmer with 4000 meters of fencing wants to enclose a rectangular plotthat borders on a river. If…

A: given ,         a rectangular plot whose length = 4000-2x…

Q: Mr. Armstrong wishes to build a deck of uniform width around his pool.  The pool is rectangular and…

A: Let the width of the deck be x so the diagram of the pool and deck will be as following We know…

Q: A square picture has a 1-in, frame around it. If the area of the frame alone is 48 in.^2, what is…

A: let x be the side length of the square. so (x+2) is the side length of the square the frame has been…

Q: For a rectangle with area 225 to have the smallest perimeter, what dimensions should it have? (Enter…

A: For the minimum perimeter of the rectangle you just need to equate the derivative of perimeter…

Q: This shape consists of 6 congruent rectangles. If a single rectangle has a perimeter of 222 meters,…

A:

Q: A piece of wire, 12 inches long, is to be bent to make a rectangle. What is the largest possible…

A:

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…

Q: The top of a rectangular box has an area of 132 cm². The sides have areas of 88 cm² and 96 cm².…

A: