Question

Greg is covering a wall with equal-sized tiles that cannot be cut

into smaller pieces. The wall is 66 inches high by 72 inches wide.
What is the largest square tile that simon can use?

A. 9 in.

B. 16 in.

C. 36 in.

D. 64 in.

Answer 1

C. 36 in.

Explanation:

The wall is 66 inches high by 72 inches wide.

The tiles are

a) 9 inch square = 3 by 3

b) 16 inch square = 4 by 4

c) 36 inch square = 6 by 6

d) 64 inch square = 8 by 8

Factors of 66 = 2 x 3 x 11

Factors of 72 = 2 x 2 x 2 x 3 x 3

Now, we can see that in both 66 and 72 , we have 2 x 3 common that is 6.

And square of 6 is 36.

So, the answer is option C.