Find the least number of square slabs needed to pave a hall 16 m 32 cm long and 11 m 22 cm wide, if all slabs are equal and as large as possible.

Question

Accepted Answer

176. Slab side = HCF(1632 cm, 1122 cm) = 102 cm (1632 = 16 × 102, 1122 = 11 × 102). Slabs = 16 × 11 = 176. (Using 51 cm, a common factor that is not the highest, would need 32 × 22 = 704 slabs.)

Find the least number of square slabs needed to pave a hall 16 m 32 cm long and 11 m 22 cm wide, if all slabs are equal and as large as possible.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Number System, HCF & LCM practice