Question

A rectangle measures 10 meters by 6 meters. Clarence makes a scale drawing of the rectangle in which the greater dimension is 2 meters. What is the area of Clarence’s scale drawing?(1 point)
Responses

60 square meters
60 square meters

0.2 square meters
0.2 square meters

2.4 square meters
2.4 square meters

6.6 square meters

Answer 1

To find the area of Clarence's scale drawing, we first need to determine the scaling factor he used for the dimensions of the rectangle.

The original dimensions of the rectangle are 10 meters by 6 meters. In Clarence's scale drawing, the greater dimension (which is 10 meters in the original) is scaled down to 2 meters.

To find the scale factor, we can divide the new dimension by the original dimension:

\[
\text{Scale factor} = \frac{2 \text{ meters}}{10 \text{ meters}} = 0.2
\]

Now, we apply this scale factor to the other dimension (6 meters) to find the scaled-down length:

\[
\text{New width} = 6 \text{ meters} \times 0.2 = 1.2 \text{ meters}
\]

Now we have the dimensions of the scale drawing:

- Length = 2 meters
- Width = 1.2 meters

Next, we calculate the area of the scale drawing:

\[
\text{Area} = \text{Length} \times \text{Width} = 2 \text{ meters} \times 1.2 \text{ meters} = 2.4 \text{ square meters}
\]

So, the area of Clarence's scale drawing is **2.4 square meters**.

The correct response is:
**2.4 square meters**