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?
More information is needed to solve this problem. Please provide the measurements of the width of the shelter and the length of the existing board.
To determine how many feet of board Mia needs to cut off the existing board, we need more information. We'll need to know the width of the shelter and the current width of the existing board.
To determine how many feet of board Mia needs to cut off the existing board to match the width of the shelter, we need two important measurements: the width of the shelter and the width of the existing board.
First, Mia needs to measure the width of the shelter using a measuring tape. Let's assume the width of the shelter is 10 feet.
Next, Mia needs to measure the width of the existing board, which can be done using a measuring tape or ruler. Let's assume the width of the existing board is 12 feet.
To find out how many feet of board Mia needs to cut off, we simply subtract the width of the shelter from the width of the existing board.
12 feet (existing board) - 10 feet (shelter width) = 2 feet
Therefore, Mia needs to cut off 2 feet of the existing board to match the width of the shelter.
Mia is building a three-sided shelter for her action figures. The shelter will resemble a rectangle with one of the long sides removed. She has boards that measure 36 inches, 39 inches, and 42 inches in length; all the boards are the same width. Mia will need to convert some of these measurements into other imperial units to build the shelter the way she wants. Answer the following questions. Show your work. Record your answers below.
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 answer this question, we need to know the width of the shelter. Let's assume the width of the shelter is 24 inches.
To convert the measurements to feet, we'll divide each measurement by 12 (since there are 12 inches in a foot).
The first board is 36 inches, which is equal to 36/12 = 3 feet.
The second board is 39 inches, which is equal to 39/12 ≈ 3.25 feet.
The third board is 42 inches, which is equal to 42/12 ≈ 3.5 feet.
Since we assume the width of the shelter is 24 inches, which is equal to 24/12 = 2 feet, we can determine how many feet of board Mia needs to cut off the existing board by subtracting the width of the shelter from the length of the third board.
3.5 feet (length of the third board) - 2 feet (width of the shelter) = 1.5 feet
Therefore, Mia needs to cut off 1.5 feet of the existing board to match the width of the shelter.
The width is 3 feet.
If the width of the shelter is 3 feet, then Mia will need to cut off a portion of the existing board to match this width.
Considering the original measurements:
- The first board is 36 inches, or 36/12 = 3 feet.
- The second board is 39 inches, or 39/12 ≈ 3.25 feet.
- The third board is 42 inches, or 42/12 ≈ 3.5 feet.
Since the width of the shelter is 3 feet, we can determine how many feet of board Mia needs to cut off by subtracting the width of the shelter from the length of the third board:
3.5 feet (length of the third board) - 3 feet (width of the shelter) = 0.5 feet
Therefore, Mia needs to cut off 0.5 feet (or 6 inches) from the existing board to match the width of the shelter.
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 will cover all the space needed for the roof, we need to compare the measurements and calculate the area covered by each board.
First, let's convert the given measurements to the same unit for easier comparison. Since 1 foot is 1/3 of a yard, we can convert the measurements to yards.
- The board that measures 1 square yard covers an area of 1 square yard.
- The second board that measures 3 feet by 3 feet can be converted to 1 yard by 1 yard, covering an area of 1 square yard.
- The third board that measures 36 inches by 36 inches can be converted to 1 yard by 1 yard, covering an area of 1 square yard.
Therefore, all three boards will cover the space needed for the roof. They each have an area of 1 square yard, which is equivalent to the area needed for the roof.
Here is a diagram to illustrate:
```
+-------------------------+
| |
| 1 square yard |
| |
+-------------------------+
OR
+---------+---------+
| | |
| 1 yard | 1 yard |
| | |
+---------+---------+
```
bot can you explain that more easily
Certainly! To determine which board will cover all the space needed for the roof, we need to compare their sizes in terms of area.
- The board that measures 1 square yard covers an area of 1 square yard.
- The second board that measures 3 feet by 3 feet can be converted to 1 yard by 1 yard, covering an area of 1 square yard.
- The third board that measures 36 inches by 36 inches can also be converted to 1 yard by 1 yard, covering an area of 1 square yard.
So, all three boards will cover the space needed for the roof. They have the same area of 1 square yard.
In simpler terms, regardless of their shapes and sizes, all three boards will fit perfectly to cover the roof.
i don't get it
I apologize for the confusion. Let's break it down further:
- The first board measures 1 square yard. A square yard is a unit of area that measures 1 yard by 1 yard. So, this board covers an area of 1 yard by 1 yard.
- The second board measures 3 feet by 3 feet. To compare it with the first board, we need to convert the measurements to the same unit (yards). Since 1 foot is equal to 1/3 of a yard, the second board measures 3/3 = 1 yard by 3/3 = 1 yard. It covers an area of 1 yard by 1 yard, which is the same as the first board.
- The third board measures 36 inches by 36 inches. Again, we need to convert the measurements to yards for comparison. Since 1 foot is equal to 1/3 of a yard, and 1 yard is equal to 3 feet, the third board measures 36/3 = 12 feet by 36/3 = 12 feet. Converting to yards, it measures 12/3 = 4 yards by 12/3 = 4 yards. It also covers an area of 4 yards by 4 yards, which is the same as the first two boards.
Therefore, all three boards cover the same amount of space needed for the roof. Each board has an area of 1 square yard, so any of them can be used to cover the roof.