Question 1:

Question

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 using this information. Be sure to work out your problems on paper and use a calculator if needed.



1a. 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?

(2 points)
Responses

Board 1 that measures 36 inches
Board 1 that measures 36 inches

Board 2 that measures 39 inches
Board 2 that measures 39 inches

Board 3 that measures 42
Board 3 that measures 42
Question 2

Answer 1

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

Mia wants the length of the shelter to measure 3.25 feet. We can convert this measurement to inches:

1. Convert feet to inches: \[ 3.25 , \text{feet} \times 12 , \text{inches/foot} = 39 , \text{inches} \]

Now we have that the length of the shelter is 39 inches.

Next, we will compare this with the available boards:

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

Since the width of the shelter will be shorter than the length, and the only board that can serve as the length of 39 inches is Board 2, this means:

The board Mia will use for the length of the shelter is Board 2 that measures 39 inches.