Question

How many tiles measuring 20*20cm each will be required to pave a 1.5m wide foothpath around a grassy plot of 25m*16m

Answer 1

Answer:

3300 Tiles

Step-by-step explanation:

The grass plot measures 2.5m * 1.6m;

Converting to cm: 2500cm * 1600cm;

The area covered by the grass plot and the footpath;

Lenghth: 2500+(150*2) = 2800cm

Width: 1600+(150*2) =1900cm

The diagram below shows the grass plot and the footpath around it which is covered by 20*20cm tiles. The calculation to find the number of tiles covering the footpath is also in the attached photo.

Answer 2

Answer: 3300 tiles

Step - by- step solution:

Dimension of tiles :

Length = 20 cm

Breadth = 20 cm

Area covered by one tile = 400 sq-cm

= 0.04 sq-m

Since foot path is all around the grassy plot,whose length = 25 m

Breadth = 16 m

let us first add the width of footpath in length and breadth

After including foot path ,length of plot= 25+1.5+1.5 = 28 m

breadth = 16+1.5+1.5 =19

Area of plot including footpath= 28×19

=532 sq-m

Area of plot =25×16= 400 sq-m

The area in which tiles to be pave = 532-400

= 132 sq-m

Tiles required =132/0.04

$\frac{132 \times 100}{4} \\ \\ = 33 \times 100 \\ \\ = 3300 \: tiles$
Hope it helps you.