What is the minimum number of square slabs, each with whole number side lengths, needed to cover a floor measuring 12.96 meters in length and 3.84 meters in width?

Explanation

To find the smallest square slab size that can tile the floor without cutting, determine the greatest common divisor (GCD) of the floor's dimensions in centimeters: GCD of 1296 cm and 384 cm is 48 cm. Each slab measures 48 cm × 48 cm. The number of slabs required is (1296 ÷ 48) × (384 ÷ 48) = 27 × 8 = 216 slabs.