Question

A rectangular courtyard is 18m 72 cm long 13 m 20 m broad .it is to paved with square tiles of the same size .find the least possible no of such tiles

Answer 1

Heya !!!!!

____________________

length of courtyard = 18m  72cm = 1872cm

breadth of courtyard = 13m 20cm = 1320 cm

take HCF of 1872 and 1320

1872 = 1320 * 1 + 552

1320 = 552 * 2 + 216

552 = 216 * 2 + 120

216 = 120 * 1 + 96

120 = 96 *1 +24

96 = 24 * 4 + 0

HCF of 1872 and 1320 = 24

no of tiles = area of courtyard / area of side of tile

                   = 1872 * 1320 /24 *24

                   = 4290 

4290 tiles of same size can paved  in the rectangular courtyard.

_________________

Hope u like it :))

# Nikky

all the best :))

Answer 2

Hey friend check the answer below
________________________________________________

Length = 1872 cm
Width = 1320 cm
The edge of the square tile must be the common divisor of the dimensions of the courtyard.
So, maximum edge of square tile = HCF of 1872 and 1320 = 24 cm
So, required number of tiles = area of courtyard/ Area of square tile = 1872 x 1320/ (24)2 = 4290
Thus, the least number of tiles required to cover the courtyard is 4290.

Hope you got the answer
And you should mark brainliest