Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches. A-what is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? B-How many floor tiles will Hector need to cover his shed floor? HURRY PLEASE. ANSWER BOTH!!

A- The side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps is 48 inches

B- The number of square tiles Hector will need is 15 tiles

Step-by-step explanation:

A- The given parameters are;

The size of the tiles cut by the company he found = 60 inches × 60 inches

The length of his shed floor = 240 inches

The width of his shed floor = 144 inches

The side length of the largest square tile is given as the highest common factor, HCF of 240 and 144 given as follows;

144/240 = 3/5

Therefore, we have the highest common factor of 144 and 240 = 144/3 = 48

Therefore, the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps = 48 inches

B- The area of his shed floor = 240 inches × 144 inches = 34560 in.²

The area of one square tile = 48 inches × 48 inches = 2,304 in.²

The number of square tiles, n, Hector will need is given as follows;

The number of square tiles Hector will need = (The area of his shed floor)/(The area of one square tile)

The number of square tiles Hector will need = n =34560 in.²/(2,304 in.²) = 15

The number of square tiles Hector will need = 15 tiles.

7

step-by-step explanation:

2 2/3 hours duhh silly

step-by-step explanation: