Question

11. A floor mat of dimensions 459 cm and 355 cm was cut into square-shaped doormats and it was found that a piece of 9 cm by 5 cm is left. What is the maximum length of the doormats?​

Answer 1

maximum length of door mat = 25 cm

maximum length of door mat = 25 cmstep by step explanation

maximum length of door mat = 25 cmstep by step explanation459 9 = 450 -

3555 = 350

3555 = 350Lets find HCF of 450 & 350

3555 = 350Lets find HCF of 450 & 350450 = 2*3*3*5*5

3555 = 350Lets find HCF of 450 & 350450 = 2*3*3*5*5350 = 2* 5 * 5 *7

3555 = 350Lets find HCF of 450 & 350450 = 2*3*3*5*5350 = 2* 5 * 5 *7HCF = 5 * 5 = 25