wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

: 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

Open in App
Solution

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.


flag
Suggest Corrections
thumbs-up
84
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Fundamental Theorem of Arithmetic
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon