Question

you want to use square tiles to cover the top of a stepping stone you’re making. the top is 24 inches by 20 inches. what is the side measure of the largest - sized square tile you can use to cover the stepping stone without any overlap or cutting? 1 inch 2 inches 4 inches 6 inches

Explanation:

Step1: Find GCD of 24 and 20

To find the largest square tile side, we need the greatest common divisor (GCD) of 24 and 20. Factorize both numbers:

• Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
• Factors of 20: \(1, 2, 4, 5, 10, 20\)

Step2: Identify the GCD

The common factors are \(1, 2, 4\). The greatest among them is 4. So the largest square tile side is 4 inches.

Answer:

4 inches (corresponding to the option with "4 inches")