Answer:
The largest tile she can use is a 8 inches by 8 inches tile.
Step-by-step explanation:
Rosa is making a game board that is 16 inches by 24 inches.
She wants to use square tiles.
The area of the game board (area of a rectangle) is equal to length times width.
∴ Area = 16 inches × 24 inches = 384 square inches
The prime factors of 384 are; 2^7 × 3
We can put it as;
2^6 × 6 = 384
The square root of 2^6 is 2^3 = 8
So Rosa will need six square tiles of 8 inches by 8 inches each.
Hence the largest tile she can use is a 8 inches by 8 inches tile.
