Chapter 7.4, Problem 51PPS

a.

To determine

To draw the rectangle that have a perimeter of y1 $400$ feet.

Explanation of Solution

Given:

The area and rectangle.

Calculation:

The following are the diagrams of rectangles that have a perimeter of 3

  $400$ feet-

  

b.

To determine

To make a table of length and width and find the area of each rectangle.

Explanation of Solution

The following is the required table-

  

c.

To determine

To graph the area of rectangle 4 in terms of length $x$ and find the larges area possible.

Explanation of Solution

Using a graphing utility, graph $y=200x-x^2$ , then use the maximum feature-

  

So, the largest area possible is $10,000{\text{ ft}}^2$ .