Aroped-off area of width x is created around a 30- by 10-foot rectangular museum display of native american artifacts. the combined area of the display and the roped-off area is 800 square feet. whats an equation for the combined function

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with x, it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

Where is the lenght and is the width.

You have that the lenght and the width in feet are:

3. Let's call the width of the roped-off area. Then, the combined area is:

Where

4. Substitute values and simplify. Then:

22

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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