11. A farmer has 1200 feet of fencing for enclosing a trapezoidal field along a river as shown. One of the parallel sides is three times longer than the other (this is 3x side shown below). No fencing is needed along the river. Find the largest area the farmer can enclose. 3x

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: 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: 10. A rancher has 600 yards of fencing to enclose two adjacent pig pens that rest against the barn.…

A:

Q: c. Quadrilateral BEAD is a rectangle, and its perimeter is 56 cm. One side is 5 less than twice the…

A:

Q: The owner of the Rancho Grande has 3,004 yd of fencing with which to enclose a rectangular piece of…

A: Given , The owner of the Rancho Grande has 3,004 yd of fencing,

Q: 5) The length of rectangle is 4 cm longer than the width, and the perimeter is at least 48 cm. What…

A:

Q: 5. A lifeguard is roping off a rectangular swimming area using the beach as one side. She has 800 m…

A: Given- A lifeguard is roping off a rectangular swimming area using the breach as one side. She has…

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

A:

Q: Farmer Aguilera has P feet of fencing with which to enclose five adjacent rectangular corrals. a.)…

A:

Q: 4. A farmer needs to fence a rectangular area of 1600 a. Determine the dimersions of the rectangular…

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: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: 1. Peter wants to make a rectangular vegetable garden in his backyard, using a fence as one side. He…

A: We will find the dimensions of the rectangular garden as following.

Q: D. A FARMER WANTS TO CONSTRVCT THE LARGEST RECTANG ULAR LIVESTOCK PEN USING 840 METERS OF FENCING…

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: This question is based on the Applications of derivative : maxima and minima

Q: 14.) The area of a regular decagon is 50 cm2. What is the area of a larger regular decagon with…

A: Given area of smaller regular decagon, A = 50 cm2 Let the side of smaller regular decagon be 'a' We…

Q: 21) A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If…

A:

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

A:

Q: A poster is to have an area of 180 sq. in. with 1 in. margins at the bottom and sides and a 2 in.…

A:

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

A:

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

A:

Q: Suppose you arrange six soda cans with two cans wide by three cans long (like a sixpack). Each can…

A: Given that 6 cans are arranged in such a way that two cans wide by three cans long. Radius of the…

Q: In how many equal parts can a wire, 50 cm long be cut so that the product of its parts is a maximum?…

A:

Q: 10. A page is to contain 54 sq. cm. of printed material. If the margins are 1cm at the top and…

A:

Q: A farmer wants to build a fence around a rectangular area of his farm with one side of the region…

A:

Q: 6. The perimeter of a garden is 20m, its area is 24sq m. What are the dimensions of the garden?

A:

Q: 2) A pile of sand poured out onto Teds driveway into coniral shape. Ted wants to know if he can fit…

A: pile is of 4 ft wide and 1.5 ft high Therefore, radius = 42=2 ft height = 1.5 ft

Q: 7. The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber,…

A:

Q: A Farmer deceives to make three identical pens with 136 feet of fence. The pens will be next to each…

A: NOTE: Refresh your page if you can't see any equations. . x=width y=length  the total fence length…

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: A farmer wants to construct a rectangular pigpen using [ 100 ] ft of fencing. The pen will be built…

A: we know that the area of rectangle = length × width and length of the fencing = 100 ft So we can…

Q: 6. A gardener has a square planting bed. When all of the sides of the bed are increased by 3 feet,…

A: The perimeter of the new bed is p = 60 feet To evaluate: The original length of a side of planting…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

A:

Q: 15) Mr. Z must mow his lawn, 12 m by 6 m. However, his rectangular pool (2m by 3m) is right in the…

A: We are given the following. Now, area of the lawn is 12×6=72 m2. And the area of the pool is 3×2=6…

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

A:

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

A:

Q: A rancher wishes to enclose a 4000 m² field and subdivide the field into 4 rectangular plots, as…

A:

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

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: solution is given below.

Q: 7. A rectangular pool at Andy's gym measures 25 meters by 50 meters. How many meters would Andy need…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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 high school is planning to build a new playing field surrounded by a running track. The track…

A: Given:-total length of running tracktwo laps= 1000 mlet, length of the rectangular infield area=L…

Q: 7. Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 12 feet…

A: Volume of a octagon is V=2(1+sqrt(2))*s^2*h

Q: (a) A farmer intends to fence off a rectangular pen for his pig using his barn as one of the sides.…

A: As per the answering guideline, only one question can be answered at a time. Please repost the other…

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

A:

Q: 2. Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet…

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: A rectangle has a width of 20 m and an area of 60 m. What is the length of the rectangle? 3m A…

A:

Q: A rancher decades to enclose a rectangular region by using an existing fence along one side of the…

A: Given that, the length is five times as long as its width. That is, l=5b. If existing fence is along…