Question

A rectangular courtyard 1.12 m long and 0.84 m wide
is to be paved exactly with square tiles, all of same
size. The largest size of the tile which could be used
for the purpose is (n x 4) cm. Find the value of n.​

Answer 1

Answer:

L

Step-by-step explanation:

Answer 2

Answer:

The value of n = 7 cm

Step-by-step explanation:

Length of a rectangular courtyard = 1.12 m

Width of the courtyard = 0.84 m

1 meter = 100 cm

1.12 meter = 1.12 × 100 = 112 cm

0.84 meter = 0.84 × 100 = 84 cm

To find the largest size of the square tile which could be used to be paved a rectangular courtyard we will find HCF.

Prime factorization of 112 = 2 × 2 × 2 × 2 × 7

Prime factorization of 84 = 2 × 2 × 3 × 7

common factors of 112, 84 = 2 × 2 × 7 = ( 4 × 7 )

Given the size of the tile = n × 4

Therefore, the value of n = 7 cm

Learn more to find HCF : https://brainly.in/question/13967518