A chess board is made using the ratio of square length to king's height, 3.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
4.05 inches
2 inches
1.8 inches
1.75 inches
We can set up a proportion to solve this problem. Let x be the length of the square.
Using the given ratio:
3.5 inches / 4.5 inches = x inches / 2.25 inches
To solve for x, we cross-multiply:
4.5 inches * x inches = 3.5 inches * 2.25 inches
4.5x = 7.875
Divide both sides by 4.5:
x = 7.875 / 4.5
x = 1.75 inches
Therefore, the length of the square is 1.75 inches.