A photograph is 6m long and 5m wide. If the photograph is enlarged by a linear scale factor of 2, what is the area of the enlarged photograph?

The original photograph has a length ($L_{original}$) of 6 m and a width ($W_{original}$) of 5 m.
The area of the original photograph ($A_{original}$) is:

This matches the student's calculation of $A = 6 \times 5 = 30$.

From the student's work in part 'a', it is assumed that the linear scale factor ($k$) is 2.

New Length ($L_{enlarged}$) $= L_{original} \times k = 6 \text{ m} \times 2 = 12 \text{ m}$
New Width ($W_{enlarged}$) $= W_{original} \times k = 5 \text{ m} \times 2 = 10 \text{ m}$
This matches the student's calculation for the enlarged width.

The area of the enlarged photograph ($A_{enlarged}$) is:

The area scale factor is the ratio of the area of the enlarged photograph to the area of the original photograph.

Alternatively, the area scale factor is the square of the linear scale factor ($k^2$).

The area scale factor is 4.