6. You have 220 feet of fencing material to enclose a rectangular area for your pet animals. Let x = the length of the rectangular enclosure. (a) [7 points] Set up the function A(x) that represent the enclosed area. (b) [7 points] What should be the dimensions of the enclosed area? (c) [2 points] What is the maximum area of the enclosed area?

I will start with (c)

(c) What is the maximum area of the enclosed area?

the maximum area of a rectangle is always given by a square figure

since the square has 4 equal sides, each side will be 220 / 4 = 55 ft long

maximum area = 55 x 55 = 3,025 ft²

(b) What should be the dimensions of the enclosed area?

the dimensions would be 55 ft in length by 55 ft in width

(a) Set up the function A(x) that represent the enclosed area.

perimeter of the rectangle = 220

we have 4 equal sides, so

A(x) = x²

.19875994384

step-by-step explanation:

1699/ 8548

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.