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)

Question

Responses

0.2 square meters
0.2 square  meters

6.6 square meters
6.6 square meters

2.4 square meters
2.4 square meters

60 square meters

Pls answer with letters

Answer 1

To find the area of Clarence's scale drawing, we first need to determine the scale factor from the original rectangle to the drawing.

The original rectangle has dimensions of 10 meters (length) and 6 meters (width). The greater dimension in the scale drawing is 2 meters. Since the greater dimension in the original rectangle is 10 meters, the scale factor can be calculated as follows:

\[ \text{Scale factor} = \frac{\text{Drawing dimension}}{\text{Original dimension}} = \frac{2 \text{ m}}{10 \text{ m}} = \frac{1}{5} \]

Now, we apply this scale factor to both dimensions of the original rectangle:

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, we can calculate the area of the scaled drawing:

\[ \text{Area} = \text{Scaled length} \times \text{Scaled width} = 2 \text{ m} \times 1.2 \text{ m} = 2.4 \text{ square meters} \]

So the area of Clarence's scale drawing is:

C. 2.4 square meters