: A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles
: A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles
length of courtyard = 18m 72cm = 1872cm
breadth of courtyard = 13m 20cm = 1320 cm
To find the square tile of maximum side we take the HCG of 1872 and 1320.
(To find the hcf, you can use any method.This is one method, no need to follow this if you don't know )
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.
length of courtyard = 18m 72cm = 1872cm
breadth of courtyard = 13m 20cm = 1320 cm
To find the square tile of maximum side we take the HCG of 1872 and 1320.
(To find the hcf, you can use any method.This is one method, no need to follow this if you don't know )
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.
