6. A rectangular area of 3200 ft² is to be fenced off. Two opposite sites will use fencing costing $1 per foot and the remaining sides will use fencing costing $2 per foot. Find the demensions of the rectangle of least cost.

Q: 1.  A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Step:-1 Part (a) Given that a rectangular pool of length =12 meter and width =8 meter Also, pool has…

Q: A rectangular prism has a base that measures 5 centimeters by 3 centimeters and a height of 2…

A: Given that: Base of rectangular prism=5cmX3cm                     Height of rectangular prism, h=2cm…

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

A: Consider the given statement. Let x be the border of the pool. Draw a rough diagram for the given…

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

A:

Q: A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: We have, a rectangle has an area of 180 cm2 and a perimeter of 54 cm. Let us consider that the…

Q: Of all rectangles of area 100, which has the smallest perimeter?

A: Given:  Area of rectangle =100     Let x and y  be the base and the height of the rectangle,…

Q: A condominium is to be be constructed in a rectangular lot with a perimeter of 800 m. What is the…

A:

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

A:

Q: A farmer has a 100 ft roll of fencing with which to fence a rectangular grazing field for her new…

A:

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

A:

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

A:

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' 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: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a  depth of 3…

A: Given a rectangular pool of length 50m, width 25m and a depth of 3m. A client wants to build a pool…

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: A pentagonal pool is to be constructed with a uniform depth of 6 feet. The dimensions are shown in…

A:

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

Q: If the farmer has 144 feet of fencing what are the demension of the region with the largest area

A: The farmer has 144 feet of fencing. we have to find the dimensions of the region with the largest…

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: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

A:

Q: A rectangular plot of land is to be seeded with grass.  If the plot is 18 m by 20 m and a 1kg bag of…

A:

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

A: Let a and b the width and length of the fence Draw the diagram by representing a and b

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

A:

Q: 2. The width of a rectangular lot is 3 meters less than its length, if the area of the lot is at…

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: (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: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

Q: 4. Determine the perimeter of the rectangle with area 232 m? and minimum perimeter. a. About 60.9 m…

A: *As per the guidelines, only first question answered. Please resubmit the remaining questions…

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: A goldsmith designed a trapezoidal pendant as shown in the figure below. If x, the perpendicular…

A:

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A:

Q: If a rectangle has a length 10 cm and a width of 6 cm, what is the perimeter?

A: If a rectangle has a length 10 cm and a width of 6 cm.

Q: A dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:

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

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

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 dog trainer has 70 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Explained below...

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: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

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

A: Consider the equation

Q: A dog trainer has 66 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given:Perimeter = 66 ftArea = 182 ft2

Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

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 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: 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: 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: Mary Frances has a rectangular garden plot that encloses an area of 48 yd?. If 28 yd of fencing are…

A: Given: The area of a rectangular garden is 48 yd2. For fencing the garden the length required is 28…

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…

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…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.