Question

Find the area of a square whose perimeter is 160 $m$ . A floor 3.0 $m$ long and 2.0 $m$ wide is to be covered with square shaped tiles of length 10 $cm.$Find the cost of flooring it, if the cost of tiles is $Rs.$ $150$ per $100$ tiles.

Answer 1

Let $a$ be the edge of square.

Perimeter of square $=4a=160m\left(\text{Given}\right)$

$\Rightarrow a=\frac{160}{4}=40m$

Now,

Length of floor $=3m$

Breadth of floor $=2m$

Area of floor $=3\times 2=6m^2=60000{cm}^2$

Edge of square shaped tile $=10cm$

Area of tile $={10}^2=100{cm}^2$

No. of tiles required $=\frac{\text{Area of floor}}{\text{Area of tile}}=\frac{60000}{100}=600$

Cost of tile is $Rs.150$ per $100$ tiles.

Therefore,

Cost of $600$ tiles $=6\times 150=Rs.900$