To find out how many 1 cm squares fit into a square that measures 1 meter on each side, we first need to convert meters to centimeters since the small squares are measured in centimeters. There are 100 centimeters in 1 meter.
This means that a square that is 1 m on each side is actually a square that is 100 cm on each side (100 cm x 100 cm).
Now, to find the area of this larger square, we calculate:
Area = side length x side length
Area = 100 cm x 100 cm = 10,000 cm²
Each 1 cm square has an area of:
Area = 1 cm x 1 cm = 1 cm²
Therefore, to find out how many 1 cm squares can fit into the larger square, we divide the area of the larger square by the area of one 1 cm square:
Number of 1 cm squares = Area of larger square / Area of one square
Number of 1 cm squares = 10,000 cm² / 1 cm² = 10,000
So, it would take 10,000 squares of 1 cm each to construct a square that is 1 m on each side.