Which board will Mia use for the length of the shelter, given that 1 foot = 12
inches?
To provide an accurate answer, I would need more details about the specific context in which Mia must choose a board for the length of the shelter and the options available to her. Information about the actual length in feet or inches of the shelter is required, as well as the dimensions of the boards Mia has to choose from.
If you can provide the shelter's required length and the board length options Mia has, I can then help determine which board she should use.
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.
a. Which board will Mia use for the length of the shelter, given that 1 foot = 12
inches?
To answer which board Mia will use, we must know the available lengths of the boards in inches since the conversion from feet to inches is necessary (1 foot = 12 inches). First, let's convert the length of the shelter Mia wants to feet into inches:
3.25 feet x 12 inches/foot = 39 inches
Mia wants the shelter to measure 39 inches in length. If you provide the lengths of the available boards Mia has to choose from, I can help you determine which one she should use for the shelter's length. Without that information, I cannot specify which board she will use. Please provide the options for the board lengths.
b. What is the width of the shelter, measured in feet?
The information about the specific width of the shelter in feet has not been provided in your questions. You've only mentioned that Mia plans for the width of the shelter to be shorter than the length, which was stated to be 3.25 feet.
To determine the width measured in feet, you would need to specify the intended width or the ratio or difference in size compared to the length. If you can provide any of these details, I'll be able to help calculate or confirm the width measured in 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 the boards, 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.
It appears Mia has three boards to choose from for the roof of the shelter, and we are to determine if any of them can cover the space needed. Let's examine the measurements of each board:
1. One board is 1 square yard.
2. The second board is 3 feet by 3 feet.
3. The third board is 36 inches by 36 inches.
Let's convert all the measurements to the same unit for consistency. We know that 1 foot = 1/3 yard and 1 foot = 12 inches. Therefore, 3 feet = 1 yard.
The area of each board in square feet is:
1. The first board is 1 square yard, which is equivalent to 1 yard * 1 yard. Since 1 yard = 3 feet, the board's dimensions in feet would be 3 feet by 3 feet.
2. The second board is already given in feet and measures 3 feet by 3 feet.
3. The third board is 36 inches by 36 inches. We know that 12 inches = 1 foot, so the board is 36 inches / 12 inches per foot = 3 feet by 3 feet.
The area of each of these boards is the length times the width:
For the first board: 3 feet * 3 feet = 9 square feet
For the second board: 3 feet * 3 feet = 9 square feet
For the third board: 3 feet * 3 feet = 9 square feet
All three boards have the same dimensions when converted into feet and thus have the same area of 9 square feet. Each board can cover the same amount of space since they are all equivalent in area when expressed in either yards, feet, or inches.
So, any of the boards will cover the space needed for the roof, given that the space required for the roof does not exceed 9 square feet. Without information about the actual size of the shelter's roof, it's not possible to definitively state which one Mia should use. If the roof area is 9 square feet or less, then any of the boards would be sufficient.