The combined surface area of the 64 mini squares comprising a chess board equals 400cm2. A 3cm broad margin encircles this chess board. What is the measurement of each side of the chess board?
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Answer: D. 26cm
Explanation
The combined area of the sixty four mini squares indicates an inner chessboard area of four hundred square centimeters. Taking the square root of the inner area determines the inner chessboard side length as twenty centimeters. Adding the three centimeter margin width to both sides of the board gives a total side length of twenty six. Chessboards consist of a grid of sixty four equal sized smaller squares arranged symmetrically. Adding a margin around a geometric shape requires increasing both opposing linear dimensions. Area and linear dimensions relate through square root operations for regular square figures.
Board game manufacturing requires precise measurements for playing surfaces and decorative outer borders. Architectural framing calculations involve adding border widths to inner structural dimensions. Carpentry and woodworking projects rely on accurate dimensional accounting for margins and panels. Option A suggests seventeen centimeters which subtracts the margin instead of adding it. Option B proposes twenty centimeters which represents only the inner chessboard without margins. Option C offers twenty three centimeters which only adds the margin on a single side.
- Subject
- Mathematics
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- Mathematics
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