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 convert inches to feet, we divide the number of inches by 12.
1) To find out which board Mia will use for the length of the shelter, we need to convert the length of the shelter from feet to inches.
Since 1 foot = 12 inches, and Mia wants the length to measure 3.25 feet, the length of the shelter in inches is:
3.25 * 12 = 39 inches.
Looking at the given board lengths, the 39-inch board matches the length of the shelter, so Mia will use the 39-inch board for the length.
2) To find the width of the shelter in feet, we need to convert it from inches to feet.
Since 1 foot = 12 inches, and Mia wants the width to be shorter than the length, we can use the 36-inch board for the width. The width of the shelter in feet is:
36 / 12 = 3 feet.
So, the width of the shelter is 3 feet.
3) Mia needs to cut the third board (42 inches) to match the width of the shelter (3 feet). We need to convert the width of the shelter from feet to inches.
Since 1 foot = 12 inches, the width of the shelter in inches is:
3 * 12 = 36 inches.
To find out how much board Mia needs to cut off, we subtract the width of the shelter from the length of the existing board:
42 inches - 36 inches = 6 inches.
Therefore, Mia needs to cut 6 inches of board to reach the goal width.
To determine which board Mia will use for the length of the shelter, we need to convert the length of the shelter from feet to inches to match the units of the boards.
1 foot = 12 inches
Length of the shelter = 3.25 feet = 3.25 * 12 inches = 39 inches
Among the available boards, the 39-inch board will be used for the length of the shelter.
To find the width of the shelter in feet, we need to convert the width from inches to feet:
Width of the shelter = 39 inches
1 foot = 12 inches
Width of the shelter in feet = 39 inches / 12 = 3.25 feet
Therefore, the width of the shelter is 3.25 feet.
Now, Mia needs to cut the third board to match the width of the shelter, which is 3.25 feet. We need to find how many feet of board she needs to cut off.
Length of the third board = 42 inches
1 foot = 12 inches
Length of the third board in feet = 42 inches / 12 = 3.5 feet
To match the width of the shelter, Mia needs to cut off 3.5 - 3.25 = 0.25 feet (or 3 inches) of the existing board.
Therefore, Mia needs to cut off 0.25 feet (or 3 inches) of the third board to reach her goal.
To determine which board Mia will use for the length of the shelter, we need to find a board that is equal to or slightly longer than 3.25 feet.
First, convert the length of each board from inches to feet:
Board 1: 36 inches = 36/12 = 3 feet
Board 2: 39 inches = 39/12 = 3.25 feet
Board 3: 42 inches = 42/12 = 3.5 feet
Since Board 2 is exactly 3.25 feet long, Mia will use Board 2 for the length of the shelter.
To find the width of the shelter, we need to select a board that is shorter than 3.25 feet. Any of the three boards can be used here, as all of them are shorter than the desired length of the shelter.
Next, Mia needs to cut the third board to match the width of the shelter. To find the amount of board she needs to cut off, we subtract the width of the shelter from the length of Board 3.
Let's assume she uses Board 1 for the width. The length of Board 1 is 3 feet.
To find the amount of board to cut off, we subtract 3 feet (width of the shelter) from 3.5 feet (length of Board 3):
3.5 feet - 3 feet = 0.5 feet
Mia will need to cut off 0.5 feet of the third board to match the width of the shelter.