Question
Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A.64 pieces of wood
B.642 pieces of wood
C.8 pieces of wood
D.82 pieces of wood
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A.64 pieces of wood
B.642 pieces of wood
C.8 pieces of wood
D.82 pieces of wood
Answers
GPT-4o mini
A chessboard with an area of 64 square inches will have dimensions that can be determined by taking the square root of the area.
The area of a square is given by the formula:
\[ \text{Area} = \text{side}^2 \]
So for Kai's chessboard:
\[ 64 = \text{side}^2 \]
Taking the square root of both sides, we get:
\[ \text{side} = \sqrt{64} = 8 \]
This means there are 8 pieces of wood along each side of the chessboard.
Therefore, the correct answer is:
**C. 8 pieces of wood**.
The area of a square is given by the formula:
\[ \text{Area} = \text{side}^2 \]
So for Kai's chessboard:
\[ 64 = \text{side}^2 \]
Taking the square root of both sides, we get:
\[ \text{side} = \sqrt{64} = 8 \]
This means there are 8 pieces of wood along each side of the chessboard.
Therefore, the correct answer is:
**C. 8 pieces of wood**.