Question

A rectangular garden is $9.99m$ long and $8.52m$ broad. Find the least number of square tiles of same size required to pave the garden.

• A. $532$
• B. $603$
• C. $9372$
• D. $595$

Answer 1

Answer: (C)

$9372$

Length of rectangular garden=$9.99m$
=$999cm$
Breadth of rectangular garden=$8.52cm$
=$852m$
Length of largest square tile=H.C.F$(999,852)$
Factor of $999=3\times 3\times 111$
Factor of $852=2\times 2\times 3\times 71$
$\therefore$ H.C.F $(999,852)=3$
$\therefore$ number of square tiles=$\frac{999\times 852}{3\times 3}$
=$9372$