Answer: The area of one shaded square is 1 inch^2
The total area of all the shaded squares is 144/2 = 72 inches square
The total area of all the white squares is also 72 inches square
Explanation:
If a total area of the chessboard is 144 square inches. The length of both sides are equal because it is a square. The formula for area is length ^2
The length of one side = √area
The length of one side = √144 = 12 inches
This means that both sides of the chessboard is 12 inches. Each side is divided into 12 partitions measuring 1 inch each. This forms a smaller square whose area is
1 inch by 1 inch. Therefore,
The area of one shaded square is
1 inch^2
The total area of the white squares and the shaded squares is 144. Therefore,
The total area of all the shaded squares is 144/2 = 72 inches square
The total area of all the white squares is also 72 inches square