Question

habib wants to cover a kitchen wall in ceramic tile. the wall is 42 feet by 10 feet. what is the side measure of the largest square tile that he can use to cover the whole wall so there is no overlap or cutting? 1 foot 2 feet 6 feet 10 feet

Explanation:

Step1: Find GCD of 42 and 10

To find the largest square tile side, we need the greatest common divisor (GCD) of 42 and 10. Factorize 42: \(42 = 2\times3\times7\), factorize 10: \(10 = 2\times5\). The common factor is 2.

Step2: Verify the GCD

Check if 2 divides both 42 and 10. \(42\div2 = 21\), \(10\div2 = 5\), no remainder. So GCD is 2.

Answer:

2 feet (corresponding to the option with "2 feet")