Rowen uses a scale factor of 1.5 to make a scale drawing of a square. How does the area of the scale drawing compare to that of the original square? Write your answer in decimal form.
Since the scale factor is 1.5, the dimensions of the scale drawing will be 1.5 times the dimensions of the original square.
Therefore, the length of each side of the scale drawing will be 1.5 times the length of each side of the original square.
Let's say the length of each side of the original square is x units.
Then, the length of each side of the scale drawing will be 1.5x units.
The area of the original square is x^2 square units.
The area of the scale drawing will be (1.5x)^2 square units.
Calculating the area:
Area of the scale drawing = (1.5x)^2 = (2.25x^2)
Therefore, the area of the scale drawing is 2.25 times the area of the original square.
In decimal form, the area of the scale drawing is 2.25.