Mia has a board that measures 1 square yard, a second board that measures 3ft by 3ft and a third board that measures 36 in by 36 in. 1ft =1/3 yard.

Question

Which of the boards if any will cover all the space needed for the roof

Answer 1

To determine which board can cover a space of 1 square yard, we need to calculate the area of the second and third boards that are provided in different measurements.

1. First Board:

   • Area = 1 square yard = 1 square yard (this board directly fits the requirement).

2. Second Board (3 ft x 3 ft):

   • First, convert feet to yards:
     • 3 ft = 3/3 = 1 yard.
   • Area = 1 yard x 1 yard = 1 square yard.

3. Third Board (36 in x 36 in):

   • First, convert inches to yards:
     • 36 inches = 36/36 = 1 yard.
   • Area = 1 yard x 1 yard = 1 square yard.

Conclusion:

All three boards measure 1 square yard in area:

• The first board is already 1 square yard.
• The second board (3 ft by 3 ft) is equivalent to 1 square yard.
• The third board (36 in by 36 in) is also equivalent to 1 square yard.

Therefore, all three boards will cover all the space needed for the roof.