Question

a rectangle measures 10 m x 6 m Clarence makes the skill drawing of the rectangle in which the greater dimension is 2 m. What is the area of Clarence‘s scale drawing?

Answer 1

To find the area of Clarence's scale drawing of the rectangle, we first need to determine the scale factor based on the greater dimension.

The original rectangle measures 10 m (length) and 6 m (width). The greater dimension is 10 m. Clarence's scale drawing has the greater dimension measuring 2 m.

To calculate the scale factor, we take the ratio of the scaled dimension to the original dimension:

\[
\text{Scale Factor} = \frac{\text{Scaled Greater Dimension}}{\text{Original Greater Dimension}} = \frac{2 \, \text{m}}{10 \, \text{m}} = \frac{1}{5}
\]

Now we will use this scale factor to find the dimensions of the scale drawing.

1. **Scaled Length:**
\[
\text{Scaled Length} = 10 \, \text{m} \times \frac{1}{5} = 2 \, \text{m}
\]

2. **Scaled Width:**
\[
\text{Scaled Width} = 6 \, \text{m} \times \frac{1}{5} = 1.2 \, \text{m}
\]

Now that we have the dimensions of the scaled drawing, we can calculate the area:

\[
\text{Area} = \text{Scaled Length} \times \text{Scaled Width} = 2 \, \text{m} \times 1.2 \, \text{m} = 2.4 \, \text{m}^2
\]

Therefore, the area of Clarence's scale drawing is \( \boxed{2.4 \, \text{m}^2} \).