To determine how many 1 cm squares are needed to cover a square that is 2 meters on each side, we first need to convert the dimensions of the larger square into the same units as the smaller squares.
Since 1 meter equals 100 centimeters, a square that is 2 meters on each side is equal to:
- 2 m × 100 cm/m = 200 cm
Now, we can calculate the area of the larger square:
- Area = side × side = 200 cm × 200 cm = 40,000 cm²
Next, we calculate the area of one of the smaller 1 cm squares:
- Area of 1 cm square = 1 cm × 1 cm = 1 cm²
To find out how many 1 cm squares are needed to cover the area of the larger square, we simply divide the area of the larger square by the area of one small square:
- Number of 1 cm squares = Area of larger square / Area of 1 cm square = 40,000 cm² / 1 cm² = 40,000
Therefore, it would take 40,000 1 cm squares to construct a square that is 2 m on each side.