explain this but just shorter To determine which board will cover all the space needed for the roof, we need to compare the sizes of the boards.

First, let's convert the measurements to a consistent unit. Since 1 yard is equal to 3 feet, we can convert the first board from square yards to square feet by multiplying by 9 (since 1 square yard = 3 feet * 3 feet = 9 square feet).

1 square yard = 1 * 9 = 9 square feet

So, the first board measures 9 square feet.

Next, let's convert the measurements for the second board from feet to square feet.

3 feet * 3 feet = 9 square feet

So, the second board also measures 9 square feet.

Finally, let's convert the measurements for the third board from inches to square feet.

36 inches * 36 inches = 1296 square inches

To convert square inches to square feet, we divide by 144 (since 1 square foot = 12 inches * 12 inches = 144 square inches).

1296 square inches / 144 = 9 square feet

So, the third board also measures 9 square feet.

Therefore, all three boards will cover the space needed for the roof since they all have the same area of 9 square feet

3 answers

To find out which board covers the roof space, we need to compare their sizes in square feet.

  1. The first board: 1 square yard = 9 square feet (1 yard = 3 feet, so 1 yd² = 3ft * 3ft = 9ft²).
  2. The second board: 3 feet x 3 feet = 9 square feet.
  3. The third board: 36 inches x 36 inches = 1296 square inches. Converting to square feet, 1296 square inches ÷ 144 = 9 square feet.

All three boards measure 9 square feet, so they will cover the roof space equally.

no words just show how i get the answer
  1. First Board:
    1 sq yd = 9 sq ft
    1 sq yd = 9 sq ft

  2. Second Board:
    3 ft x 3 ft = 9 sq ft

  3. Third Board:
    36 in x 36 in = 1296 sq in
    1296 sq in ÷ 144 = 9 sq ft

All boards:
9 sq ft
9 sq ft
9 sq ft

Conclusion: All boards = 9 sq ft.