Question

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??​

Answer 1

`\displaystyle\rm 15000`

Explanation:

we given the area of rectangular floor and tile we want to find the number of tiles needed to tile the floor

notice that the area of the rectangular floor is in meter and the tile in cm so we need to convert cm to meter in order to figure out the number of tiles needed to tile the floor

therefore,

`\rm 1m \implies 100 c m\\ \rm{1m}^(2) \implies10000 {cm}^(2)`

remember that,

`\displaystyle\rm \: N _( \rm tile) = (A _( \rm floor) )/(A _( \rm tile) )`

Thus substitute:

`\displaystyle\rm \: N _( \rm tile) = \frac{360 * 10000 {cm}^(2) }{ {240cm}^(2) }`

simplify which yields:

`\displaystyle\rm \: N _( \rm tile) = 15000`

hence,

15000 of tiles needed to tile the floor

Answer 2

1500

Explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

`\implies 360m^2 = 360 * 10^4 \ cm^2`

And , the number of tiles required will be ,

`\implies n =(Area \ of \ floor)/(Area \ of \ a \ tile )\\\\\implies n =( 360 * 10^4 \ cm^2)/(240 cm^2) \\\\\implies \underline{\underline{ n = 1,500 }}`

Hence the required answer is 1500 .