Question

Question
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.(1 point)
The area of the scale drawing is
times the area of the original.

Answer 1

When Rowen uses a scale factor of 1.5 to create a scale drawing of a square, the area of the scale drawing will be affected by the square of the scale factor.

1. The area of a square is calculated as \( \text{side length}^2 \).
2. If the original side length of the square is \( s \), the area of the original square is \( s^2 \).
3. After applying the scale factor of 1.5, the new side length becomes \( 1.5s \).
4. The area of the scale drawing is then \( (1.5s)^2 = 2.25s^2 \).

Now, to compare the area of the scale drawing to the area of the original square:

\[
\text{Area of scale drawing} = 2.25 \times \text{Area of original}
\]

Thus, the area of the scale drawing is \( 2.25 \) times the area of the original square.

So the answer in decimal form is:

**2.25**