ben wants to decorate his bedroom wall with colored square tiles of the same size. The area he wants to tile is a rectangle measuring 60 inches by 96 inches. He uses only whole tiles. Find the greatest possible length of each side of a tile.
The greatest common factor of 60 and 96 is 12.
60/12 = 5
96/12 = 8
5 * 8 = ?
how many tiles would ben have to use if each tile is 12 in length
To find the greatest possible length of each side of a tile, we need to find the greatest common divisor (GCD) of the length and width of the rectangle.
In this case, the length of the rectangle is 96 inches and the width is 60 inches.
Step 1: Find the factors of the length (96) and the width (60).
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Step 2: Identify the common factors between the two sets of factors.
Common factors of 96 and 60: 1, 2, 3, 4, 6, 12
Step 3: Determine the greatest common factor (GCF) from the common factors.
GCF of 96 and 60: 12
The greatest possible length of each side of a tile is 12 inches.