Question

scaling squares
for problems 2-7, use the provided scale factors to create a scale drawing of each original figure.
then calculate the areas of the original figure and the scale drawing.

problem	original figure	scale factor	scale drawing	area of the original figure	area of the scale drawing
3	grid with 1×1 square	3	empty grid
	grid with 1×1 square	4	empty grid

Explanation:

Problem 2:

Step 1: Area of Original Figure

The original figure is a square with side length \( s = 1 \) unit. The formula for the area of a square is \( A = s^2 \).
\( A_{\text{original}} = 1^2 = 1 \) square unit.

Step 2: Side Length of Scale Drawing

The scale factor is 2. To find the side length of the scale drawing, multiply the original side length by the scale factor.
\( s_{\text{scale}} = 1 \times 2 = 2 \) units.

Step 3: Area of Scale Drawing

Using the area formula for a square with the scaled side length.
\( A_{\text{scale}} = 2^2 = 4 \) square units.

Step 1: Area of Original Figure

Original square side length \( s = 1 \) unit. Area formula \( A = s^2 \).
\( A_{\text{original}} = 1^2 = 1 \) square unit.

Step 2: Side Length of Scale Drawing

Scale factor is 3. Scaled side length: \( s_{\text{scale}} = 1 \times 3 = 3 \) units.

Step 3: Area of Scale Drawing

Area of scaled square: \( A_{\text{scale}} = 3^2 = 9 \) square units.

Step 1: Area of Original Figure

Original square side length \( s = 1 \) unit. Area formula \( A = s^2 \).
\( A_{\text{original}} = 1^2 = 1 \) square unit.

Step 2: Side Length of Scale Drawing

Scale factor is 4. Scaled side length: \( s_{\text{scale}} = 1 \times 4 = 4 \) units.

Step 3: Area of Scale Drawing

Area of scaled square: \( A_{\text{scale}} = 4^2 = 16 \) square units.

Answer:

Area of Original Figure: \( 1 \) square unit
Area of Scale Drawing: \( 4 \) square units

Problem 3: