Use "converting units"
Mrs. fallis wants to tile the kitchen counter that has an area of 2 square meters. She has 2000 square tiles with 3 cm sides. Does she have enough tiles to cover the counter?
Mrs. Fallis needs to convert the units of the tiles from square centimeters to square meters to see if she has enough to cover the counter.
1 cm is equal to 0.01 meters, so the area of each tile is:
3 cm x 3 cm = 9 square cm
9 square cm x 0.0001 square meters/square cm = 0.0009 square meters
Mrs. Fallis has 2000 tiles, so the total area of the tiles is:
2000 tiles x 0.0009 square meters/tile = 1.8 square meters
Since the area of the counter is 2 square meters and the total area of the tiles is 1.8 square meters, Mrs. Fallis does not have enough tiles to cover the counter. She needs to buy more tiles.
To determine if Mrs. Fallis has enough tiles to cover the counter, we need to convert the units and calculate the total number of tiles required.
1. Convert the area of the kitchen counter to square centimeters:
2 square meters = 2 * 10,000 square centimeters (since 1 square meter = 10,000 square centimeters)
2. Calculate the number of tiles required to cover the counter:
Each square tile has a side length of 3 cm, so the area of each tile is 3 cm * 3 cm = 9 square centimeters.
Total number of tiles required = Area of counter (in square centimeters) / Area of each tile (in square centimeters).
Total number of tiles required = 2 * 10,000 square centimeters / 9 square centimeters.
3. Plug in the values and calculate:
Total number of tiles required = 22,222.22 tiles (approx.)
Therefore, Mrs. Fallis would require approximately 22,222 tiles to cover the kitchen counter. Since she has 2000 tiles, it means she does not have enough tiles to cover the entire counter.