A rectangular courtyard is 4m 95cm long and 16m 65cm broad. It is to be paved with the square tiles of the same size. Find the least number of such square tiles required to pave the rectangular courtyard.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 407.
Let the number of square tiles required be n
Length of the courtyard = 4 m 95 cm
⇒ 4 × 100 + 95 = 495 cm
Breadth of the courtyard = 16 m 65 cm
⇒ 16 × 100 + 65 = 1665 cm
The area of the rectangular courtyard = Length × Breadth
⇒ 495 × 1665 cm2
Now,
H.C.F of (495 and 1665) = 45
So,
n = The area of the rectangular courtyard/The area of square tiles
⇒ n = (495 × 1665)/45 × 45
⇒ n = 11 × 37
⇒ n = 407
So, the number of tiles required is 407