Determine the dimensions of a rectangle with the maximum area. 2. Discuss the result of maximizing the area of a rectangle, given a fixed perimeter. 3. A farmer has 600 m of fence and wants to enclose a rectangular field beside a river. Determine the dimensions of the fenced field in which the maximum area is enclosed.
Express the area in terms of x, and find the value of x that gives the greatest area. 4. A rectangle has a perimeter of 80 cm. If its width is x, express its length and area in terms of x, and find the maximum area. 5. Suppose you had 102 m of fencing to make two side-by-side enclosures as shown. What is the maximum area that you could enclose?
Dec 03, 2009 · a. Find a formula for the area b. find a formula for the perimeter c. find the dimensions x and y that maximize the area given that the perimeter is 100 . * See attachment for details!!! I know that this figure is composed of 4 semicircles and one rectangle ; the area of the rectangle is xy , and the area of the semicircle is 1/2pir^2.
The volume enclosed by the resulting cylinder depends on the proportions of the rectangle. You will find the dimensions of the rectangle, r and h, that maximize the cylinder's volume. a. The rectangle has a perimeter of 1200 mm. Write an equation for perimeter and then solve it in terms of r. PG) s 2k \ zoo: +2 h h c COO 1200-2 T b.
Nov 02, 2019 · The maximum area is square yards Sienna has 400 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area.
Problem 1: Sarah needs to find the dimensions that will maximize the rectangular area of an enclosure with a perimeter of 24m. Rectangle Width (m) )Length (m) Perimeter (m) Area (m 2 1 24 2 24 3 24 4 24 5 24 6 24 7 24 8 24 9 24 10 24 11 24 What are the dimensions of the rectangle with the maximum or optimal area?
1 Find the area, in square inches, enclosed by a circle whose diameter is 8 inches. 2 A rectangle has sides of length 4 and 6. Find the area enclosed by the rectangle’s circumscribed circle. 3 An equilateral triangle has a perimeter of 6. Find the enclosed area of this triangle. 4 Find the slope of the tangent line to the graph of