Final answer:
The area of the floor covered by the 280 parallelogram tiles is 0.42 square meters when calculated using the formula for the area of a parallelogram and then converting the result from square centimeters to square meters.
Step-by-step explanation:
To calculate the area of the floor covered by the 280 parallelogram tiles, we first find the area of one tile using the formula for the area of a parallelogram, which is:
Area = base x height
For one tile with a base of 5 cm and height (altitude) of 3 cm, the area is calculated as follows:
Area of one tile = 5 cm x 3 cm = 15 cm²
To find the total area covered by all the tiles, we multiply the area of one tile by the number of tiles:
Total area = Area of one tile x Number of tiles
Total area = 15 cm² x 280 = 4200 cm²
Converting this to square meters, since 1 m² = 10000 cm²:
Total area in square meters = 4200 cm² / 10000 = 0.42 m²