Question

The area of the Real Object is equal to the area of the scale drawing divided by the square of the scale factor

The rectangle has 12 on the top and bottom and 4 on the left and right

The area of the scale drawing is:
12 ● 4 =
48 square units.

2/1 is an example of a scale factor written as a fraction.
What is the scale factor written as a ratio: 2:1

Square of scale factor 2:1 is: *blank 1*

Divide the scale drawing area by the square of the scale factor to find the area of th real object.
Area of real objects: 48 ÷ 4 = *blank 2* square units

Answers

GPT-4o mini
To solve this step by step, let's start with the provided information.

1. **Finding the square of the scale factor**:
- The scale factor given is \( \frac{2}{1} \), which means the scale factor is 2.
- The square of the scale factor is \( 2^2 = 4 \).

So, **blank 1** is **4**.

2. **Finding the area of the real object**:
- To find the area of the real object, we take the area of the scale drawing (48 square units) and divide it by the square of the scale factor (4).

\[
\text{Area of real object} = \frac{48}{4} = 12 \text{ square units}
\]

So, **blank 2** is **12** square units.

### Summary of the Completed Answer:
- Square of scale factor (blank 1): **4**
- Area of real objects (blank 2): **12 square units**