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 roof of the shelter, mia has a board that measures 1 square yard, a second board that mia
sures 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 cover the roof of the shelter, Mia needs a board with dimensions that can cover an area at least equal to the length and width of the shelter. Since we only know the length of the shelter (3.25 feet), we can't exactly calculate the area for the roof until we know the width. However, we can still evaluate the boards Mia has based on the information provided.
Mia has three boards:
1. A board that measures 1 square yard.
2. A second board that measures 3 feet by 3 feet.
3. A third board that measures 36 inches by 36 inches.
Since 1 yard equals 3 feet, a square yard would also be 3 feet by 3 feet. Thus, all three boards are actually the same size if measured in the same units.
Now, let's convert all measurements to feet since the length Mia desires for the shelter is in feet. The third option is in inches, so we'll convert those:
36 inches * (1 foot / 12 inches) = 3 feet.
So now every board is 3 feet by 3 feet, which means they all are the same size.
3 feet by 3 feet equates to an area of 9 square feet (3 feet * 3 feet = 9 square feet).
Now, if Mia intends for the length of the shelter to be 3.25 feet and these boards are only 3 feet in one dimension, then none of the boards in their current dimensions would be suitable for the length of the roof, as they are all 3 feet by 3 feet and thus would not cover the 3.25 feet length Mia desires for the shelter. The width of the shelter is not given, but it doesn't matter in this case since the length is already not sufficiently covered by the dimensions of the available boards.
In conclusion, none of the boards will cover all the space needed for the roof because they are not long enough to match the 3.25 feet length Mia wants for the shelter. If you were to draw a picture, you would see that the board would not fully extend over the 3.25-foot length, leaving a gap of 0.25 feet.