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?
1 answer
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.