Question 1
1. What board will Mia use for the length of the shelter?
Mia wants the length of the shelter to measure 3.25 feet. For the length, she will use the board that is designated for that measurement, which is 3.25 feet.
2. What is the width of the shelter, measured in feet?
Given that the width of the shelter will be shorter than the length (3.25 feet), Mia can choose any measurement less than 3.25 feet for the width. For this example, let’s assume she decides on a width of 2.5 feet (you could select any length that is less than 3.25 feet).
3. How many feet of board will she need to cut off the existing board to reach this goal?
If we assume that the existing board for the width was originally longer than 2.5 feet, let’s say it is 4 feet long (this is just an example; the actual length will depend on what Mia has).
To find out how much she needs to cut off:
- Existing board length: 4 feet
- Desired width: 2.5 feet
Cut off = Existing board length - Desired width
Cut off = 4 feet - 2.5 feet = 1.5 feet
So, Mia will need to cut off 1.5 feet from the existing board.
Question 2
Mia's options for the roof materials are:
- A board that measures 1 square yard.
- A second board that measures 3 feet by 3 feet.
- A third board that measures 36 inches by 36 inches.
Let's evaluate the area of each:
-
1 square yard:
- 1 square yard = 3 feet × 3 feet = 9 square feet.
-
3 feet by 3 feet:
- Area = 3 feet × 3 feet = 9 square feet.
-
36 inches by 36 inches:
- 36 inches = 3 feet (since 1 foot = 12 inches).
- Area = 3 feet × 3 feet = 9 square feet.
Conclusion
All three boards (1 square yard, 3 feet by 3 feet, and 36 inches by 36 inches) will cover 9 square feet of area. Therefore, any of these boards will cover all the space needed for the roof since they all provide the same area of coverage.
Visual Representation (Optional)
You can visualize it as follows:
- For a board measuring 3 feet by 3 feet:
+-------+
| |
| | 3 feet
| |
+-------+
- For the square yard (1 square yard):
+-------+
| |
| | 3 feet
| |
+-------+
- For the 36 inches by 36 inches:
+-------+
| |
| | 3 feet
| |
+-------+
All three representations highlight that the area covered is consistent across the boards.