A square chessboard is made up of 64 white and black squares arranged in 8 rows and 8 columns. The side length of each square is 2 inches. What is the perimeter of the chessboard?

March 17, 2026Mathematics

ScanSolve AI Answer

March 17, 2026

Answer

$256~\text{inches}$

Step 1: A standard chessboard has $8 \times 8 = 64$ small squares.

8 \times 8 = 64

Step 2: Half of the squares are white, so number of white squares is $64 \div 2 = 32$ .

64 \div 2 = 32

Step 3: Each small square has side length $2$ inches, so perimeter of one square is $4 \times 2 = 8$ inches.

4 \times 2 = 8~inches

Step 4: White squares do not share edges (checkerboard pattern), so total perimeter is number of white squares times perimeter per square: $32 \times 8 = 256$ inches.

32 \times 8 = 256~inches

The perimeter of the white squares is $\boxed{256~inches}$ .

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A square chessboard is made up of 64 white and black squares arranged in 8 rows and 8 columns. The side length of each square is 2 inches. What is the perimeter of the chessboard?

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