4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then divide the area in half by running a length of fence parallel to one of the edges. What is the largest possible total area the farmer can enclose?

Q: 2 towns A and B are situated 3km and 4km from a main road as shown in the diagram. Where should the…

A: Let J is x km away from point C. So JD=6-x

Q: 2. On a certain vehicle, one windshield wiper is 60 cm long, and is afixed to a swing arm which is…

A:

Q: 5- An article will be written on a 24 cm² part of a paper. Since 1.5 cm from the top and bottom and…

A: The solution is given below.

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: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: A campground owner plans to enclose a rectangular field adjacent to a river.The owner wants the…

A: A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the…

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

A:

Q: If the edge of a cube is doubled, the total area is multiplied by ___ and___the volume is multiplied…

A: For a cube with side length a, its surface area is 6a2 and volume is a3. Now suppose the side length…

Q: 3. Find the dimension of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area…

A:

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

A:

Q: A rectangular field measures 12 m long and 18 m wide. It will be equaly partitioned into small…

A: Length of rectangular field is l=12 m and width is b=18 m. Area of the rectangular field is A=lb…

Q: 2. A printer needs to make a campaign poster that will have a total area of 200 in? and will have…

A:

Q: A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given, A piece of wire 19 m long is cut into two pieces. Part a: Let s be the length of the wire…

Q: 8. A rectangular plot of land is to be seeded with grass. If the plot is 22 m by 28 m and a 1kg bag…

A: Given that, Dimension of rectangular plot = 22 by 28 1 kg bag of seed cover an area of 85 sq m

Q: A company plans to enclose three parallel rectangular areas for sorting returned goods. The three…

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: 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: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: 4. A water tower is built in the shape of a right circular cylinder whose base is 10 meters in…

A: The tower is built in the shape of a right circular cylinder with base diameter 10 meters and…

Q: 5- An article will be written on a 24 cm2 part of a paper. Since 1.5 cm from the top and bottom and…

A:

Q: A chemical power plant is rectangular and has a length of 100 m and a width of 60,000mm. A safety…

A:

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

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

A:

Q: 4. What is the total distance traveled by the object on [0,8]?

A: Given that: velocity vs time graph as shown:

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: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

Q: Suppose a farmer wants to put a fence around their square property that has an area of 66 units.…

A: Given query is to find the amount of fencing required.

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: How many cells whose diameter is 50 μm could fit under a 1 cm x cm coverslip?

A:

Q: 4.) Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder…

A: The given question can be solved as shown in step2

Q: If a cube has a volume of 64. What is it’s edge length

A:

Q: 14. City college is having a poster contest. The posters must be rectangular in shape, and they must…

A:

Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

A:

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: How many cells whose diameter is 50 µm could fit under a 1 cm x 1 cm coverslip?

A:

Q: How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

A:

Q: A company plans to enclose three parallel rectangular areas for sorting returned goods. The three…

A: Consider the figure:

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

A: Solve for the lager rectangle dimension and area of large rectangle

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

A:

Q: There is 100 feet of fencing available to enclose a rectangular region. For what widths will the…

A: There are 100 feet of fencing available to enclose a rectangular region. We need to find for what…

Q: 9. Find the dimensions of the rectangular box with largest value if the total surface area is given…

A: To find The dimensions of the rectangular box

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

Q: 9. Find the area of the largest rectangle that fits inside a circle of radius 10.

A:

Q: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the…

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: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .