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.
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 convert 3.25 feet to inches, we multiply by 12: 3.25 * 12 = 39 inches.
Since Mia has a board that measures 39 inches in length, she will use that board for the length of the shelter.
What is the width of the shelter, measured in feet
To determine the width of the shelter, we need to select a board that is shorter than 3.25 feet.
Since Mia has boards that measure 36 inches, 39 inches, and 42 inches in length, we need to convert these measurements to feet to determine which board will be suitable for the width.
To convert inches to feet, we divide by 12.
For the 36-inch board: 36 inches / 12 = 3 feet
For the 39-inch board: 39 inches / 12 = 3.25 feet
For the 42-inch board: 42 inches / 12 = 3.5 feet
Since Mia wants the width of the shelter to be shorter than 3.25 feet, she will use the 36-inch board, which is 3 feet in length, for the width of the shelter.
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. We are given that 1 foot equals 12 inches.
So, to convert 3.25 feet into inches, we will multiply it by 12:
3.25 feet * 12 inches/foot = 39 inches
Now, we can compare the length of the shelter (39 inches) with the lengths of the available boards: 36 inches, 39 inches, and 42 inches.
Comparing the lengths, we see that the board measuring 39 inches is the exact length Mia needs for the shelter. Therefore, Mia will use the board measuring 39 inches for the length of the shelter.