A rectangular courtyard is 18m72cm long and 13m20 cm broad. it's to be paved with square tiles of same size .find the least no. of such tiles
Answers
Answered by
5
Hey
Given length of rectangular courtyard = 18 m 72 cm = 1872 cm
Width of rectangular courtyard = 13 m 20 cm = 1320 cm
To find the square tile of maximum side we take the HCG of 1872 and 1320 By Euclid’s division lemma
we have 1872 = 1320 × 1 + 552 1320 = 552 × 2 + 216 552 = 216 × 2 + 120 216 = 120
× 1 + 96 120 = 96 × 1 + 24 96 = 24 × 4 + 0 Hence the HCF is 24
Therefore maximum side of the square = 24 cm Number of tiles required = (Area of rectangular courtyard)
(Area of square tile) = (1872 × 1320)/(24 × 24) = 4290
Hence 4290 tiles are required.
Hope it helps to you.
Given length of rectangular courtyard = 18 m 72 cm = 1872 cm
Width of rectangular courtyard = 13 m 20 cm = 1320 cm
To find the square tile of maximum side we take the HCG of 1872 and 1320 By Euclid’s division lemma
we have 1872 = 1320 × 1 + 552 1320 = 552 × 2 + 216 552 = 216 × 2 + 120 216 = 120
× 1 + 96 120 = 96 × 1 + 24 96 = 24 × 4 + 0 Hence the HCF is 24
Therefore maximum side of the square = 24 cm Number of tiles required = (Area of rectangular courtyard)
(Area of square tile) = (1872 × 1320)/(24 × 24) = 4290
Hence 4290 tiles are required.
Hope it helps to you.
Answered by
6
Hey! ! !
Solution :-
☆ The rectangular courtyard is 1872 cm x 1320 cm.
● First find the HCF of 1872 and 1320
☆ 1872 = 2x2x2x2x3x3x13
☆ 1320 = 2x2x2x3x5x11
● The HCF is 24.
● We must decide the size of the square tile we need to use. The two possible sizes are 24 cm x 24 cm or 8 cm x 8 cm. The latter size is too small to handle.
So the tiles are 24 cm x 24 cm, then the number of tiles needed will be
1872 cm x 1320 cm/(24 cm x 24 cm) = 78 x 55 = 4290.
●There will be 78 tiles along the longer side and 55 tiles along the shorter side of the courtyard - i.e. total of 4290 tiles of 24 cm x24 cm will be required
☆ ☆ ☆ Hop its helpful ☆ ☆ ☆
☆ Regards :- ♡♡《 Nitish kr singh 》♡♡
Solution :-
☆ The rectangular courtyard is 1872 cm x 1320 cm.
● First find the HCF of 1872 and 1320
☆ 1872 = 2x2x2x2x3x3x13
☆ 1320 = 2x2x2x3x5x11
● The HCF is 24.
● We must decide the size of the square tile we need to use. The two possible sizes are 24 cm x 24 cm or 8 cm x 8 cm. The latter size is too small to handle.
So the tiles are 24 cm x 24 cm, then the number of tiles needed will be
1872 cm x 1320 cm/(24 cm x 24 cm) = 78 x 55 = 4290.
●There will be 78 tiles along the longer side and 55 tiles along the shorter side of the courtyard - i.e. total of 4290 tiles of 24 cm x24 cm will be required
☆ ☆ ☆ Hop its helpful ☆ ☆ ☆
☆ Regards :- ♡♡《 Nitish kr singh 》♡♡
Similar questions