Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The rancher has 240 yd of fencing available. What is the largest total area that can be enclosed?

Q: A storage shed is shaped like a rectangular prism. The width is 9 yards, the height is 3 yards, and…

A: Concept: Volume of the rectangular prism is given by: V=length×width×height Given: V=243 cubic yards…

Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

A: We have to find the number of slices.

Q: A window consists of rectangular pane of glass surmounted bya semicircular pane of glass (see…

A: Given: Perimeter of the window is 20 feet. Consider height is y and diameter of the semicircle is x.…

Q: A pizza company is building a rectangular solid box to be able to deliver personal pan pizzas. The…

A: The given data is: A pizza company is building a rectangular solid box to be able to deliver…

Q: A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the…

A: The diameter of the cheesecake is = 10 inches So radius= 5 inches  Area of the cheesecake is =…

Q: . A stained glass window in a museum is in the shape of a rectangle with a semicircle on top. The…

A: Area of rectangle = Length × BreadthArea of semi circle = πr22, where r=Radius of semi circle

Q: A dog trainer is fencing in an enclosure, represented by the shaded region in the diagram. The…

A: The width of the region is w. Since there are two squares at the end of the region, each square has…

Q: A vacant lot is being converted into a community garden. The garden and the walkway around its…

A: Please refer the attached image for complete solution.

Q: In order for you to carry a bag on the plane, it must fit inside the Carry-on Baggage Check Box. The…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the area into…

A:

Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A:

Q: A RECTANGLE swimming pool is 25 feet long and 11 feet wide. The water is 4 feet deep. What is the…

A: The length of the RECTANGLE swimming pool is: l = 25 feet   The wide of the RECTANGLE swimming pool…

Q: A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing…

A: Total fencing available=700 feet

Q: his high school stadium contains a track that surrounds a soccer field. The soccer field is 100…

A: We will use formula for are of semicircle.

Q: A canvas wind shelter for the beach has a back, two square sides, and a top. If 96 square feet of…

A: Given :           Let x be the length, and y be the width and height             Volume = xy2Surface…

Q: Need help in business calculus. A javelina rancher wants to enclose a rectangular area and divide…

A: Given that       A javelina rancer wants to enclose a rectangular area and divide it into 4 pens.…

Q: Enclosing the Largest Area grazing land along the straight portion of a river and then subdivide it…

A:

Q: A cube has a volume of 27 cubic inches. What is the total surface area of the cube? A. 18 square…

A:

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: This question is based on application of derivative.

Q: Kendra is designing a garden such that it has a square shape. She knows that she wants the total…

A:

Q: A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing…

A:

Q: A farmer wants to enclose two adjacent goat pens beside his barn. The wall of the barn forms one…

A: The arrangement of barn and goat pens is shown below  The perimeter of one goat fence is  P=x+x+y…

Q: A petting zoo is constructing some pens for their small animals. They are going to put fence around…

A:

Q: Half perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Find the…

A:

Q: A farmer wants to enclose two adjacent goat pens beside his barn (see figure below). The wall of the…

A:

Q: _20.) The width of the lot is 4-meters shorter than its length. How long should its length be to…

A: A lot is in the form of rectangle.   Let length of rectangle be l, then width is l-4.   Also, it is…

Q: farmer has 1200 feet of fencing and wants to fence off a small rectangular garden. What are the…

A: Using first differentiation to get critical value of dimensions of garden. Second differentiation to…

Q: Construction A box is being constructed by cutting 2-inch squares from the corners of a square sheet…

A: given: A box is being constructed by cutting 2-inch squares from the corners of a square sheet of…

Q: man is planning a patio. The​ triangular-shaped patio has sides 20​ft,17ft, and 21ft . Find the…

A: We will find the area required.

Q: A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the area into…

A:

Q: A swimming pool is in the shape of a rectangle 10 m by 8 m with two semi-circular ends. The paved…

A:

Q: re the problem. 3) A developer wants to enclose a rectangular grassy lot that borders a city street…

A:

Q: A rectangular swimming pool is to be filled with water. The pool has a uniform depth of 3m and is…

A: To find the water required to fill the pool halfway, I am going to calculate half of the volume of…

Q: A large rectangular movie screen in an IMAX theater has an area of 9,191 square feet. Find the…

A:

Q: What is the area of the zucchini section?

A: By subtracting area for flowers from total garden area, we get total area available for vegitables(…

Q: 16. Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep…

A:

Q: A walkway forms one diagonal of a square playground. The walkway is 18 m long. How long is a side of…

A:

Q: Houses, Apartment Buildings and Office Buildings are sold and leased by the squ Typical dimensions…

A: given

Q: a rectangular open tank has a total surface area of 720 sq.cm. if the ratio of the length, width and…

A: The surface area of rectangular tank is given by the formula SA=2wh+2lh+lw, where l is the length, w…

Q: a marble pillar in the shape of a rectangle prism has a length and width of 2.5 feet and a height of…

A: Given:  The marble pillar in the shape of a rectangle prism has a length and width of 2.5 feet and a…

Q: ectangular-based pyramid whith base length 15 cm and width 8 cm. the height of the pyramid is 20cm.…

A: Volume of a pyramid = 1/3 x base area x height V=13Abh  Where, Ab = area of the polygonal base  h =…

Q: ZOOM 2. The corner cupboard shown below has 3 circular shelves that each have 270° of usable space.…

A:

Q: The family is planning to install a Japanese-themed dining area with tatami mats. The length of the…

A:

Q: A storage container is shaped like a rectangular prism.The volume of the container is 960 cubic…

A: Volume of a rectangular prism is the product of it's base area and height of the prism. Here Given…

Q: A farmer wants to enclose two rectangular areas along a river (see the figure below), one for cattle…

A:

Q: | 20 yd 80 yd 40 yd An athletic field is a 40 yd - by - 80 yd rectangle, with a semicircle at each…

A:

Q: A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other bent…

A:

Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 3420 yd of fencing to enclose a…

A: To find the dimensions

Q: The length of a rectarele is 4 yd mare than twice the width x. The area is 390 yd. Find the…

A:

Q: An open box is formed by cutting equal squares out of the corners of a rectangular piece of…

A: An open box is formed by cutting equal squares out of the corners of a rectangular piece of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.