Mr. Hawk cuts a square matte board that is 15 1/2 inches on each side. He wants to cut an equal border that is 2 3/4 inches wide. What will be the dimensions of the square hole?

To find the dimensions of the square hole, we need to subtract twice the width of the border from each side of the original square.

The width of the border is 2 3/4 inches, so twice the width is 5 1/2 inches.

Subtracting 5 1/2 inches from each side of the original 15 1/2 inch square gives us:

15 1/2 - 5 1/2 = 10 inches

So the dimensions of the square hole will be 10 inches on each side.

To find the dimensions of the square hole, we need to subtract twice the width of the border from each side of the original square matte board.

The original square matte board is 15 1/2 inches on each side.
The border is 2 3/4 inches wide.

To find the dimensions of the square hole, we subtract twice the width of the border from each side.

For the length: 15 1/2 inches - (2 x 2 3/4 inches)
= 15 1/2 inches - (5 1/2 inches)
= 15 1/2 inches - 5 1/2 inches
= 10 inches

For the width: 15 1/2 inches - (2 x 2 3/4 inches)
= 15 1/2 inches - (5 1/2 inches)
= 15 1/2 inches - 5 1/2 inches
= 10 inches

Therefore, the dimensions of the square hole will be 10 inches by 10 inches.