mia will use one of these boards for the length of the shelter. She knows she wants
the length of the shelter to measure 3.25 feet. She will use a different board for the
width of the shelter. The width of the shelter will be shorter than the length.
Which board will Mia use for the length of the shelter, given that 1 foot = 12 inches? What is the width of the shelter, measured in feet?
Mia will use a board that measures 3.25 feet for the length of the shelter.
To find the width of the shelter, we need to consider that it will be shorter than the length. Let's say the width is x feet.
Since 1 foot is equal to 12 inches, the length of the shelter in inches is 3.25 feet * 12 inches/foot = 39 inches.
The width of the shelter in inches is x feet * 12 inches/foot = 12x inches.
Since the width is shorter than the length, we can set up the following inequality:
12x < 39
To solve for x, we divide both sides of the inequality by 12:
x < 39/12
x < 3.25
Therefore, the width of the shelter, measured in feet, is less than 3.25 feet.
Mia needs to cut the third board to match the width of the shelter. How many feet of
board will she need to cut off the existing board to reach this goal?
To find out how many feet of board Mia needs to cut off the existing board, we need to determine the difference between the length of the existing board and the desired width of the shelter.
The desired width of the shelter is less than the length, which is 3.25 feet.
Let's assume the length of the existing board is L feet. We need to find L - 3.25.
Since we don't have the value of L, we cannot calculate the exact amount Mia needs to cut off the board. However, we know that the width of the shelter must be less than 3.25 feet.
For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
To determine which board or boards will cover all the space needed for the roof, we need to compare the dimensions of each board to the total area needed.
First, let's convert the measurements to a consistent unit, either yards or feet:
- The board that measures 1 square yard will cover an area of 1 yard by 1 yard, which is 1 yard^2.
- The second board measures 3 feet by 3 feet, which is equal to (3/3) yards by (3/3) yards, or 1 yard by 1 yard. This board also covers an area of 1 square yard.
- The third board measures 36 inches by 36 inches, which is equal to (36/12) feet by (36/12) feet, or 3 feet by 3 feet. This also covers an area of 1 square yard.
From the calculations, we can see that all three boards will cover the required area of 1 square yard for the roof. Therefore, any of these boards can be used to cover the entire space needed for the roof.
To illustrate this, here's a simple diagram:
```
+---------------------------------------------+
| |
| Roof Area |
| |
| |
+---------------------------------------------+
```
All three boards (1 square yard) can be placed on top of the roof area to cover it entirely.
Overall, Mia has multiple options for covering the roof area with any of the three boards.
To determine which board Mia will use for the length of the shelter, we need to convert the given length of 3.25 feet into inches and compare it to the length of the available boards.
First, let's convert the length of 3.25 feet into inches. Since 1 foot is equal to 12 inches, we can multiply 3.25 by 12 to get the length in inches:
3.25 feet * 12 inches/foot = 39 inches
So, the length of the shelter in inches is 39 inches.
Now, we need to compare this length to the lengths of the available boards. If one of the boards has a length greater than or equal to 39 inches, then that is the board Mia will use for the length of the shelter.
Regarding the width of the shelter, it is mentioned that the width will be shorter than the length. However, the specific measurement of the width is not provided. Therefore, we cannot determine the width of the shelter at this time.