Mia is building a three-sided shelter for her action figures. The shelter will

Question

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?

Answer 1

To determine which board Mia will use for the length of the shelter, we first need to convert the desired length of the shelter from feet to inches.

Mia wants the length of her shelter to be 3.25 feet. Since 1 foot = 12 inches, we can perform the conversion as follows:

\[ 3.25 \text{ feet} \times 12 \text{ inches/foot} = 39 \text{ inches} \]

Now that we know Mia wants the length of the shelter to be 39 inches, we can compare this length to the lengths of the available boards:

• Board 1: 36 inches
• Board 2: 39 inches
• Board 3: 42 inches

Since Mia wants the length to be 39 inches, she should use the 42-inch board for the length of the shelter, as it is the only board that meets her condition of being at least 39 inches in length while also being longer than available longer options.

Therefore, Mia will use the 42-inch board for the length of the shelter.