Geometery question

Question

A kitchen which is 6 m by 5 m is to be renovated with tiles that are 18 ft². Determine how many tiles are needed to renovate the kitchen and how much it would cost if each tile cost $9 per tile. Show all your work.

Answer 1

Hello, Luhan,

I noted in the comments section that 19ft² per tile seems high. However, I'll do the calculation using that figure.

The dimensions of the kitchen are in metric (meters) while the tile area is given in English (ft²). We'll need to convert one to the other to have consistent units. I'll choose metric.

We know that 1 meter = 3.28084 feet

Therefore 1 m² = 10.765 ft²

Use this as a conversion factor: (1m²/10.765 ft²)

One tile, at 19ft²/tile equals (19 ft²/tile)*(1m²/10.765 ft²) = 1.765m²/tile

The total kitchen area is 6m x 5m = 30m²

Divide the total area by the 'per tile' area: 30m²/1.765m²/tile = 17 tiles (slighlty rounded up to the nearest whole tile.

At $9/tile we can calculate a total cost of the tiles (no labor) by multipying the tiles by the price per tile:

($9/tile)*(17 tiles) = $153

Bob

Answer 2

30 m² = 322.917 ft²