Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 42 feet by 10 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?
A,1 foot
B,2 feet*
C,6 feet
D,10feet

42 42 by 10 10 feets?

Or 42 by 10 feet?
The the Highest common factor would be 2 for the largest

Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 42 feet by 10 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?
A,1 foot
B,2 feet
C,6 feet
D,10feet

To find the side measure of the largest square tile that can cover the whole wall without overlap or cutting, we need to determine the greatest common divisor (GCD) of the dimensions of the wall.

The dimensions of the wall are 42 feet by 10 feet.

Let's calculate the GCD of 42 and 10 using the Euclidean algorithm:

Step 1: Divide 42 by 10:
42 ÷ 10 = 4 remainder 2

Step 2: Divide 10 by 2 (the remainder from step 1):
10 ÷ 2 = 5

Step 3: Divide 2 (the remainder from step 1) by 5 (the quotient from step 2):
2 ÷ 5 = 0 remainder 2

Since the remainder is 2, we need to go one more step.

Step 4: Divide 5 (the quotient from step 2) by 2 (the remainder from step 3):
5 ÷ 2 = 2 remainder 1

Now, we have a remainder of 1, so we stop.

The GCD of 42 and 10 is the last non-zero remainder, which is 1.

Therefore, the side measure of the largest square tile that Habib can use to cover the kitchen wall without overlap or cutting is 1 foot.

So, the correct answer is A, 1 foot.

To find the side measure of the largest square tile that Habib can use to cover the whole kitchen wall with no overlap or cutting, we need to determine the greatest common divisor (GCD) between the length and width of the wall.

The dimensions of the wall are given as 42 feet by 10 feet.

To find the GCD, we can use the Euclidean algorithm, which is a method for computing the GCD of two numbers.

Here's how the Euclidean algorithm works:
1. Take the smaller dimension (10 feet) and divide it into the larger dimension (42 feet).
42 ÷ 10 = 4 remainder 2

2. Take the divisor (10 feet) and divide it into the remainder (2 feet).
10 ÷ 2 = 5 remainder 0

3. When we get a remainder of 0, the divisor right before it (2 feet) is the GCD.

In this case, the GCD of 42 feet and 10 feet is 2 feet.

Therefore, the side measure of the largest square tile that Habib can use is 2 feet.

So, the correct answer is B, 2 feet.