Question 1

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 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?:

Question 2
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

7 answers

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. 1 square yard:

    • 1 square yard = 3 feet × 3 feet = 9 square feet.
  2. 3 feet by 3 feet:

    • Area = 3 feet × 3 feet = 9 square feet.
  3. 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.

can u explain question 2 with the explanation and conclusion together as a few sentences

In Question 2, Mia has three boards for the roof, each measuring 1 square yard, 3 feet by 3 feet, and 36 inches by 36 inches. All three measurements equal an area of 9 square feet (1 square yard = 9 square feet, and both 3 feet by 3 feet and 36 inches by 36 inches also equal 9 square feet when converted). Therefore, any of these boards will adequately cover the space needed for the roof, as they all provide the same area of 9 square feet.

which board will cover all the space needed for the roof?

All three boards will cover the space needed for the roof, as they each have the same area of 9 square feet. Specifically:

  1. 1 square yard = 9 square feet
  2. 3 feet by 3 feet = 9 square feet
  3. 36 inches by 36 inches = 9 square feet (since 36 inches = 3 feet)

Since each board provides 9 square feet of coverage, any of these boards can be used to cover the roof completely.

"Mia has three boards for the roof, each measuring 1 square yard, 3 feet by 3 feet, and 36 inches by 36 inches. All three measurements equal an area of 9 square feet (1 square yard = 9 square feet, and both 3 feet by 3 feet and 36 inches by 36 inches also equal 9 square feet when converted). Therefore, any of these boards will adequately cover the space needed for the roof, as they all provide the same area of 9 square feet." can u make it simple pls

Mia has three boards for the roof: one is 1 square yard, another is 3 feet by 3 feet, and the last one is 36 inches by 36 inches. All three boards cover the same area of 9 square feet (1 square yard = 9 square feet, and 3 feet by 3 feet and 36 inches by 36 inches also equal 9 square feet). This means any of these boards will work to cover the roof completely.