A photograph measuring 5.5 cm by 9 cm is enlarged in the ratio of 7:5. What is the new length and width of the picture?

7.7 cm by 12.6 cm

7.8 cm by 12.5 cm

7.8 cm by 12.7 cm

None of these

Let's calculate the new length and width of the picture:

Original length (L) = 9 cm

Original width (W) = 5.5 cm

Enlargement ratio = 7:5

New length (L') = (7/5) × L = (7/5) × 9 = 12.6 cm

New width (W') = (7/5) × W = (7/5) × 5.5 = 7.7 cm

So, the new length and width of the picture are:

7.7 cm by 12.6 cm