Enclosing the Most Area with a Fence A farmer with10,000 meters of fencing wants to enclose a rectangular fieldand then divide it into two plots with a fence parallel to oneof the sides. See the figure. What is the largest area that canbe enclosed?

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 farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: A farmer plans to enclose a rectangular pasture adjustment to a river The pasture must be 5000…

Q: Homework: Score: 0 of 1 pt X *7.2.2 What is the perimeter of rectangle ABCD? 10- 10 8 10 Copy of…

A:

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: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2580 yd of fencing to enclose a…

A:

Q: The top of a bridge tower needs new lights. The lights are along the perimeter of the towers top.…

A: We have to find the perimeter of tower.

Q: A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens (see figure). The…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: We need to derivate the Are and put equal to 0 for Maximum Area

Q: A landscape architect is designing a rectangular garden in a local park. The garden will be 25 feet…

A:

Q: A goat is tied to a corner of a 5m by 7m shed with an 8m rope. Find the ground area the cow can…

A:

Q: An Olympic size pool has a length of 50 meters (m) to accommodate long-course races. Its width is 25…

A:

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: of

A:

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

A:

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

A: Let x be the length and y be the width of the rectangular area .First we formulate an equation in x…

Q: borders a straight river. He needs no fence along the river. Wha

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Given The pasture area is 180,000 square meter  The x width  is length and  y meter is width

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: According to question, Area of rectangular pasture land (A) = 5000 square meters

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

A:

Q: An exercise yard is to be made consisting of two (2) regular partitions (see illustration below) y…

A:

Q: A landscape architect is designing a rectangular garden in a local park. The garden will be 35 feet…

A:

Q: All changes save 2. A farmer wants to build a fence around a rectangular area of his farm with one…

A: Given :   fencing of three sides=76 feet

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Explanation of the answer is as follows

Q: A javalina rancher wants to enclose a rectangular area and then divide it into four pens with…

A: Let the length of the pen is = x and the width=ySo the total fence needed= 2x+5y=510From it we…

Q: An owlbear rancher wants to enclose a rectangular area and then divide it into four pens with…

A: In this question, we will find the largest possible total area of the 4 pens.

Q: The HGEES sports field is a rectangle, 100 yards by 40 yards, with a semicircle at each of the…

A: The dimension of the rectangle is 100 yards by 40 yards. The shorter side contains semicircle. So,…

Q: Kareem wants to paint a rectangular region of a wall with one layer of paint. He has 16yd of tape to…

A:

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

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A:

Q: You have 268 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle…

A: .   It is given that fencing for a rectangular region is restricted to 28 feet .Let the length and…

Q: A landscape architect is designing a rectangular garden in a local park. The garden will be 35 feet…

A: Draw the diagram of garden along with walkway considering the width of walkway is x ft.

Q: A gardener is designing a rectangular garden on a plot of land that is 1010 feet by 1515 feet. His…

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Given,  Area of pasture = 125000 m2  Dimensions of pasture x and y   We have to find the value of x…

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

A: Given information: A field of reactangle having area is 605,000 square metre.

Q: When a basketball player is shooting a free throw, the other players must stay out of the shaded…

A: Given, This Figure includes One Rectangle and One Semicircle. After observing the figure, Length of…

Q: 15. A gardener has a 30 foot by 20 foot rectangular plot of ground. She wants to build a brick…

A:

Q: a man is going to fold a box. the box will have a top that is open. it will be made from a square…

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A:

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

A:

Q: The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing…

A:

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

A:

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

A: Let the length of the side parallel to the river is = y yd And the other 3 sides are of the length =…

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: An ostrich farmer wants to enclose a rectangular area and then divide it into five pens with fencing…

A:

Q: You have 1200 feet of fencing material and you wish to construct a retangular dog kennel with 3…

A: Let length of the rectangle be x and breath be y so area is given by: A=xy.  Also 2y has to be used…

Q: A landscape architect is designing a rectangular garden in a local park. The garden will be 35 feet…

A: Length= 35 feet Width= 10 feet

Q: A javalina rancher wants to enclose a rectangular area and then divide it into four pens with…

A:

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.