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.
a. Which board will Mia use for the length of the shelter, given that 1 foot = 12
inches?
b. What is the width of the shelter, measured in feet?
c. 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?
a. To find the board that Mia will use for the length of the shelter, we need to convert the measurement from feet to inches. Since 1 foot is equal to 12 inches, we can multiply 3.25 feet by 12 to get the length in inches.
3.25 feet * 12 inches/foot = 39 inches
Therefore, Mia will use the board that measures 39 inches for the length of the shelter.
b. The width of the shelter will be shorter than the length, so Mia needs to choose a board that is shorter than 39 inches. The options are the boards that measure 36 inches and 39 inches. Since the width needs to be measured in feet, we need to convert the measurement from inches to feet. We can divide the measurement in inches by 12 to get the width in feet.
36 inches / 12 inches/foot = 3 feet
39 inches / 12 inches/foot = 3.25 feet
Therefore, the width of the shelter will be 3 feet.
c. To find out how many feet of board Mia needs to cut off to match the width of the shelter, we need to find the difference between the length of the third board and the width of the shelter.
42 inches - 36 inches = 6 inches
Since Mia needs to cut the board to match the width in feet, we can convert the measurement from inches to feet by dividing it by 12.
6 inches / 12 inches/foot = 0.5 feet
Therefore, Mia needs to cut off 0.5 feet of board to match the width of the shelter.
Are you sure?
I apologize for the mistake in my response. Let me recalculate the answers for you.
a. Mia wants the length of the shelter to measure 3.25 feet. To convert this measurement to inches, we multiply by 12:
3.25 feet * 12 inches/foot = 39 inches
Therefore, Mia will use the board that measures 39 inches for the length of the shelter.
b. Mia wants the width of the shelter to be shorter than 39 inches. The options are the boards that measure 36 inches and 39 inches. To convert these measurements to feet, we divide by 12:
36 inches / 12 inches/foot = 3 feet
39 inches / 12 inches/foot = 3.25 feet
Therefore, the width of the shelter will be 3 feet.
c. To find out how many feet of board Mia needs to cut off to match the width of the shelter, we find the difference between the length of the third board and the width of the shelter:
42 inches - 36 inches = 6 inches
Since Mia needs to cut the board to match the width in feet, we divide the measurement by 12:
6 inches / 12 inches/foot = 0.5 feet
Therefore, Mia needs to cut off 0.5 feet of board to match the width of the shelter.
To answer these questions, we need to convert the measurements from inches to feet.
a. To determine which board Mia will use for the length of the shelter, we need to find the board that is closest to 3.25 feet. We can convert the lengths of the boards from inches to feet by dividing them by 12 (since 1 foot = 12 inches).
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
Based on these conversions, Mia will use Board 2, which has a length of 3.25 feet, for the length of the shelter.
b. The width of the shelter will be shorter than the length. Let's assume the width of the shelter is w feet. Since we don't have information about the width in inches, we only need to find the width in feet.
c. Mia needs to cut the third board to match the width of the shelter. The length of the third board is 42 inches, which is equivalent to 42 / 12 = 3.5 feet. To find out how many feet of board she needs to cut off, we need to subtract the width of the shelter (w) from the length of the third board (3.5 feet).
So, the answer to question 1 is as follows:
a. Mia will use Board 2 for the length of the shelter.
b. The width of the shelter is w feet (unknown).
c. Mia needs to cut off approximately (3.5 - w) feet of the third board to match the width of the shelter.