Answer:
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> 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: