SOLUTION: find the number of tiles required if the floor area is 17.5 m square and tile area is 625 cm square

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Question 729580: find the number of tiles required if the floor area is 17.5 m square and tile area is 625 cm square
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
We want both measurements in the same units
There are 100 centimeters in a length of 1 meter, so the conversion for square meters to square centimeters goes like this:
1m%5E2=%281m%29%281m%29=%28100cm%29%28100cm%29=10000cm%5E2
So 17.5m%5E2=17.5m%5E2%2810000cm%5E2%2F1m%5E2%29=175000cm%5E2
To tile a surface with an area of 17.5m%5E2=175000cm%5E2
using tiles with a surface area of 625cm%5E2 per tile, we need
175000%2F625=280tiles.
If the home improvement store would lend you a calculator, it is easy to do that division. Or maybe you brought a calculator, or there is a calculator function in your cell phone. Or maybe you would enjoy doing that calculation with pencil and paper.

An easier calculation:
We are using tiles such that each has a surface area of
625cm%5E2=%2825cm%29%2825cm%29
How many of those tiles do we need per m%5E2 of floor?
1m%5E2=%281m%29%281m%29=%28100cm%29%28100cm%29

At 4%2A4=16 tiles per m%5E2 we will need
17.5%2A%284%2A4%29=%2817.5%2A4%29%2A4=70%2A4=280 tiles.
That is how I could calculate it in my head.