MATH SOLVE

7 months ago

Q:
# If a total are of the chessboard is 144 square inches. What is the area of one shaded square. What is the total area of all the shaded squares and total area of all the white squares.

Accepted Solution

A:

Answer: The area of one shaded square is 1 inch^2The total area of all the shaded squares is 144/2 = 72 inches squareThe total area of all the white squares is also 72 inches squareStep-by-step 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 ^2The length of one side = √areaThe length of one side = √144 = 12 inchesThis 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^2The 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 squareThe total area of all the white squares is also 72 inches square