Final answer:
To find the reduced dimensions of the rectangle by a scale factor of 0.8, each original dimension is multiplied by 0.8, resulting in new dimensions of 3.04 cm by 1.12 cm.
Step-by-step explanation:
When a rectangle with dimensions of 3.80cm by 1.40cm is reduced by a scale factor of 0.8, we must multiply each dimension by that scale factor to find the new dimensions.
The new length is 3.80 cm × 0.8 = 3.04 cm.
The new width is 1.40 cm × 0.8 = 1.12 cm.
Therefore, the new dimensions of the rectangle are 3.04 cm by 1.12 cm.