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?

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. 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?

Answer 1

To convert the length of the shelter from inches to feet, divide the desired length in inches by the conversion factor:

3.25 feet * 12 inches/foot = 39 inches

Therefore, Mia will use the 39-inch board for the length of the shelter.

To find the width of the shelter, we need to find the shortest length board among the remaining two options (36 inches and 42 inches). Since the width should be shorter than the length, Mia will use the 36-inch board for the width of the shelter.

To convert the width of the shelter from inches to feet, divide the width in inches by the conversion factor:
36 inches/12 inches/foot = 3 feet

Therefore, the width of the shelter is 3 feet.

To find how many feet of board Mia needs to cut off to match the width of the shelter, subtract the width of the shelter from the length of the third board:
42 inches - 36 inches = 6 inches

To convert the inches into feet, divide the difference by the conversion factor:
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.