x X A rancher has 3000 feet of fencing with which to construct adjacent, equally sized rectangular pens as shown in the figure above. What dimensions should these pens have to maximize the enclosed area? y = X Maximum area =

Find the length and width of a rectangle that has the given perimeter and a maximum area.   Perimeter: 204 meters   L=? W=?   I thought this was simple but for some reason, every answer i gave was wrong

Find a rectangular piece of paper, cardboard, poster-board, etc. to create a box. Measure the sides of your paper and record them below (if you are using a normal size piece of paper its dimensions are 8.5 inches by 11 inches). You will now have to determine the length, width, and height to make an open-top box with the maximum volume possible. To do this you will have to cut the corners of the paper to fold up (but don't do this yet). Assume the height of the box will be x, which means you will need to subtract x from both sides of the width and length. Use these three dimensions to create a volume equation which you can derive like we did yesterday to find the optimal value for x leading to the maximum dimensions for your box. All of your work and the box you create should be submitted below.

A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a rectangle will maximize the area? What is the max area? Let x be the shorter side, where 2x+y=3300.

A piece of wire that is 13 meters long is cut into two pieces. One piece is folded into an equilateral triangle and theother is folded into a square. Where should the wire be cut toi. Maximize the combined area.ii. Minimize the combined area.Use calculus techniques to verify that your solutions indeed maximize/minimze the area.

The margins at the 10. A page is to contain 45 square inches of print. top and bottom of the page are each 1- inches wide. The margins on What should be the dimensions of print so 2 each side are 1 inch. that a minimum amount of paper is used?

You have been given 260 ft of material to make the rectangular figure below. What dimensions should you use to create the maximum area? You have been given 128 meters of material to make the rectangular figure below. What dimensions should you use to create the maximum area? You are going to build a fence around the schoolyard to fence in the playground. The fence will be up against the school. If you have 94 yards of fencing, what are the dimensions of the playground space that will provide the greatest area?

You are given a rectangular piece of paper that has length a 21.3 cm and height y-20 cm The lower right comer is to be folded to the top edge forming a triangle as shown Determine the maximum and minimum area of a triangle that can be constructed Maximum Area- Minimum Area-