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 and convert it into feet.
Question 2
For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
To find the board that Mia will use for the length of the shelter, we need to convert the length of 3.25 feet into inches. Since 1 foot is equal to 12 inches, we can multiply 3.25 by 12 to get the length in inches.
3.25 feet * 12 inches/foot = 39 inches
Therefore, Mia will use a board that is 39 inches long for the length of the shelter.
Since the width of the shelter needs to be shorter than the length, we cannot determine the exact width without more information. It could be any value less than 3.25 feet.
For the roof of the shelter, we can compare the areas of the three boards to determine if any of them will cover all the space needed.
To find the area of the first board, which measures 1 square yard, we can simply use the value given. The area of a square yard is equal to 1 yard * 1 yard = 1 square yard.
The second board measures 3 feet by 3 feet, so the area can be found by multiplying these two dimensions: 3 feet * 3 feet = 9 square feet.
Lastly, the third board measures 36 inches by 36 inches, which can be simplified to 3 feet by 3 feet. So again, the area is 9 square feet.
Comparing the areas of the boards, we see that the second and third boards both have an area of 9 square feet, while the first board only has an area of 1 square yard.
Therefore, either the second or third board can cover all the space needed for the roof.