Final answer:
To find the dimensions of the scale drawing, calculate the side of the square by taking the square root of its area (64 square meters), giving us 8 meters. Applying the scale factor of 1 cm = 4 meters, each side of the scale drawing measures 2 cm, leading to a scale drawing of 4 cm x 4 cm.
Step-by-step explanation:
The question is asking for the dimensions of a scale drawing of a square with an area of 64 square meters. A scale factor of 1 cm = 4 meters is used. To find the dimensions of the scale drawing, we first need to determine the side length of the actual square by taking the square root of the area:
- √64 square meters = 8 meters for one side of the actual square.
Next, we apply the scale factor. Since 1 cm corresponds to 4 meters in the scale:
- 8 meters / 4 meters per cm = 2 cm for one side of the scale drawing.
A square has all sides equal, so the dimensions of the scale drawing are 2 cm x 2 cm.
Therefore, the correct answer is B) 4 cm x 4 cm (since each side of the square in the scale drawing is 2 cm, and a square has four sides of equal length).