Question

How many tiles, each of area $400c{m}^2$, will be needed to pave a footpath which is $2m$ wide and surrounds a grass plot $25m$ long and $13m$ wide?

• A. $4400$
• B. $3200$
• C. $4200$
• D. $4300$

Answer 1

The correct option is C $4200$

A grass plot is $25m$ long and $13m$ wide.
Thus, the area of the grass plot $=25\times 13$ sq. m
$=325$ sq. m
A footpath which is $2m$ wide surrounds a grass plot.
Thus, the area of the entire plot with the footpath $=29\times 17$ sq. m
$=493$ sq. m
Thus, the area of the footpath $=(493-325)$ sq. m
$=168$ sq. m
$=1680000$ sq. cm
Area of each tile $=400$ sq. cm
Thus, number of tiles $=\frac{1680000}{400}$$=4200$