Mia is building a thee sided shelter for her action figures. The shelter will resemble a rectangle with one of the long size removed she has boards that measure 36 inches 39 inches and 42 inches in length all the boards are the same width will need to convert some of these measurements into other imperial units to build a shelter the way she wants answer the following questions show your work
Question 1: Mia will use one of these boards for the length of the shelter she knows length of the shelter to measure 3.25 feet she will use a different board for the width of the shelter width of the shelter will be shorter than the length which board will use for the length of the shelter given that 1 foot equals 12 inches If she uses the 39 inches word board what is the width of the shelter measured in feet If the width is 39 inches as well if Mia cuts the 3rd 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
To convert inches to feet, we divide the number of inches by 12 (since 1 foot equals 12 inches).
Question 1:
If Mia wants the length of the shelter to be 3.25 feet, she needs to convert this measurement to inches. So, she would multiply 3.25 feet by 12 inches/foot to get 39 inches. Therefore, she would use the 39 inches board for the length of the shelter.
To find the width of the shelter in feet, we convert the width from inches to feet in the same way. Since the width is also 39 inches, she would divide 39 inches by 12 inches/foot to get 3.25 feet.
To determine how many feet of board Mia needs to cut off the existing board to match the width of the shelter, we subtract the width of the shelter from the length of the board. In this case, the length of the board is 42 inches, and the width of the shelter is 39 inches. Thus, she needs to cut off 42 inches - 39 inches = 3 inches of board.
To convert this measurement to feet, we divide 3 inches by 12 inches/foot to get 0.25 feet. Therefore, Mia needs to cut off 0.25 feet of board to reach her goal.
To answer the first question, let's convert the length of the shelter from feet to inches since all the board lengths are given in inches.
Given:
Length of the shelter = 3.25 feet
1 foot = 12 inches
To convert feet to inches, we multiply the length in feet by 12:
3.25 feet * 12 inches/foot = 39 inches
So, if Mia wants the length of the shelter to be 3.25 feet, she should use the 39-inch board.
For the second question, we need to find the width of the shelter in feet, given that the width is also 39 inches.
Width of the shelter = 39 inches
1 foot = 12 inches
To convert inches to feet, we divide the width in inches by 12:
39 inches ÷ 12 inches/foot = 3.25 feet
So, the width of the shelter is also 3.25 feet.
Now, for the third question, Mia wants to cut the third board to match the width of the shelter, which is 3.25 feet. We need to find out how many feet of board she needs to cut off to achieve this goal.
Given:
Length of the third board = 42 inches
To convert inches to feet, we divide the length in inches by 12:
42 inches ÷ 12 inches/foot = 3.5 feet
Since the width of the shelter is 3.25 feet, Mia needs to cut off 0.25 feet (3.5 feet - 3.25 feet) of the existing board to match the width of the shelter.
Therefore, Mia needs to cut off 0.25 feet of the existing board to reach this goal.
To determine which board Mia will use for the length of the shelter, we need to convert the desired length from feet to inches.
Given that 1 foot equals 12 inches, the length of the shelter in inches can be calculated as:
3.25 feet * 12 inches/foot = 39 inches
Since the 39 inches board matches the desired length of the shelter, Mia will use this board for the length.
To find the width of the shelter in feet, we need to convert the width from inches to feet. Since the given width is also 39 inches, we can perform the conversion as follows:
39 inches * 1 foot/12 inches = 3.25 feet
Therefore, the width of the shelter is 3.25 feet.
Now, if Mia wants to cut the third board to match the width of the shelter, she needs to determine how many feet of board she needs to remove from the existing board.
Given that the existing board has a length of 42 inches and the desired width is 3.25 feet (or 39 inches), we can calculate the excess length as:
42 inches - 39 inches = 3 inches
To convert this excess length from inches to feet, we divide by 12:
3 inches * 1 foot/12 inches = 0.25 feet
Thus, Mia needs to cut off 0.25 feet (or 3 inches) from the existing board to reach her goal.