Question

A garden is $24m$ long and $14m$ wide. There is a path $1m$ wide outside the garden along its sides. If the path is to be constructed with square marble tiles $20cm\times 20cm$, find the number of tiles required to cover the path?

• A. $1800$
• B. $200$
• C. $2000$
• D. $2150$

Answer 1

The correct option is C $2000$

Area of rectangle $=length\times breadth$

Area of rectangle ABCD$=24\times 14$

$={336}^{2}m$

Area of rectangle EFGH$=26\times 16$

$={416}^{2}m$

Area of path $=416-336$

$={80}^{2}m$

Let n tiles are used to cover the path then,

$\begin{array}{c}80=n\times \frac{20}{100}\times \frac{20}{100}\\ n=\frac{80\times 100}{4}\\ n=2000\end{array}$

hence,

$2000$ tiles are used.

So option $C$ is correct.