Final answer:
The envelope logo's dimensions, which are half the size of the business card's logo, are calculated to be (7)/(16) inch by (3)/(7) inch by applying a scale factor of 1/2 to the original dimensions of (7)/(8) inch by (6)/(7) inch.
Step-by-step explanation:
The question asks us to find the dimensions of a company's logo on an envelope, which is (1)/(2) the size of the logo on a business card. The business card's logo dimensions are (7)/(8) inch by (6)/(7) inch.
To calculate the dimensions of the logo on the envelope, we simply multiply each of the business card logo's dimensions by 1/2 to apply the scale factor.
- Multiply the width: (7)/(8) inch * (1)/(2) = (7)/(16) inch.
- Multiply the height: (6)/(7) inch * (1)/(2) = (3)/(7) inch.
Therefore, the dimensions of the logo on the envelope are (7)/(16) inch by (3)/(7) inch.