A photocopier that enlarges in the ratio 7:4 will increase the size of the diagram by a factor of 7/4. To find the new size of the diagram, we can multiply the original measurements by the factor of enlargement.
The new width of the diagram will be:
16 cm × 7/4 = 28 cm
The new height of the diagram will be:
12 cm × 7/4 = 21 cm
Therefore, the new size of the diagram will be 28 cm by 21 cm.
Answer: The new size of the diagram will be 28 cm by 21 cm.