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.
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
To determine which board Mia will use for the length of the shelter, we need to convert 3.25 feet into inches.
Since 1 foot = 12 inches, we can multiply 3.25 feet by 12 inches/foot to get:
3.25 feet * 12 inches/foot = 39 inches
Therefore, Mia will use the board that measures 39 inches for the length of the shelter.
To find the width of the shelter, we need to determine which board will be shorter than 39 inches. The 36-inch board is shorter than 39 inches, so Mia will use the 36-inch board for the width of the shelter.
To find the width of the shelter in feet, we divide 36 inches by 12 inches/foot:
36 inches / 12 inches/foot = 3 feet
So, the width of the shelter is 3 feet.
To determine how many feet of the third board Mia needs to cut off, we subtract the width of the shelter (3 feet) from the length of the shelter (3.25 feet):
3.25 feet - 3 feet = 0.25 feet
Therefore, Mia needs to cut off 0.25 feet of the existing board to match the width of the shelter.
To find out which board Mia will use for the length of the shelter, we need to convert the length measurements into feet.
1. For the first board of 36 inches:
36 inches = 36/12 = 3 feet
2. For the second board of 39 inches:
39 inches = 39/12 = 3.25 feet
3. For the third board of 42 inches:
42 inches = 42/12 = 3.5 feet
Since Mia wants the length of the shelter to measure 3.25 feet, she will use the second board.
To find the width of the shelter, we need to determine which of the remaining boards is shorter than 3.25 feet.
Comparing the lengths:
- The first board is 3 feet, which is shorter than 3.25 feet.
- The third board is 3.5 feet, which is longer than 3.25 feet.
Therefore, Mia will use the first board for the width of the shelter.
Now, to determine how many feet of board Mia needs to cut off the existing third board to match the width of the shelter (3 feet):
3.5 feet - 3 feet = 0.5 feet
Mia needs to cut 0.5 feet of the third board to reach her goal.
To find out which board Mia will use for the length of the shelter, we need to convert 3.25 feet into inches so that we can compare it with the lengths of the available boards.
Since 1 foot is equal to 12 inches, we can multiply 3.25 by 12 to convert it into inches:
3.25 feet * 12 inches/foot = 39 inches
Now let's compare the lengths of the available boards. The boards are 36 inches, 39 inches, and 42 inches long.
Since the length of the shelter should be 39 inches, Mia will use the board that measures 39 inches as the length of the shelter.
Next, we need to find the width of the shelter. It is given that the width of the shelter will be shorter than the length, but we don't have enough information to determine the exact width.
Now let's move on to the third question. Mia needs to cut the third board to match the width of the shelter. The width of the shelter is not provided, so we cannot determine the exact amount of board that needs to be cut off. We only know that the width will be shorter than 39 inches, which is the length of the shelter board.
To find out how many feet of board Mia needs to cut off to reach the goal, we would need to know the width of the shelter in either inches or feet.