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?
First, we need to determine the scale factor used in Clarence's drawing. The original rectangle has dimensions of 10 meters by 6 meters, with the greater dimension being 10 meters.
The scale used by Clarence is 2 meters for the greater dimension in his drawing. Therefore, the scale factor is 10 meters / 2 meters = 5.
To find the dimensions of Clarence's scale drawing, we divide the original dimensions by the scale factor:
- New length: 10 meters / 5 = 2 meters
- New width: 6 meters / 5 = 1.2 meters
Now we can calculate the area of Clarence's scale drawing:
- Area = New length * New width
- Area = 2 meters * 1.2 meters
- Area = 2.4 square meters
Therefore, the area of Clarence's scale drawing is 2.4 square meters.