A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with identical square tiles of the largest possible size. Find the side (in cm) of each square tile using Euclid's algorithm.

Question

Accepted Answer

24. Length = 1872 cm, breadth = 1320 cm. HCF(1872,1320): 1872 = 1320 x 1 + 552; 1320 = 552 x 2 + 216; 552 = 216 x 2 + 120; 216 = 120 x 1 + 96; 120 = 96 x 1 + 24; 96 = 24 x 4 + 0. HCF = 24 cm.

A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with identical square tiles of the largest possible size.
Find the side (in cm) of each square tile using Euclid's algorithm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Euclid's Division Lemma practice

A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with identical square tiles of the largest possible size.Find the side (in cm) of each square tile using Euclid's algorithm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Euclid's Division Lemma practice

A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with identical square tiles of the largest possible size.
Find the side (in cm) of each square tile using Euclid's algorithm.