Final answer:
While the question lacks specific growth data for each city, larger cities like Toronto are likely to have experienced a significant increase in 'built up' areas due to global urbanization trends and transformation from industrial to postindustrial societies.
Step-by-step explanation:
The question is asking about the growth rate of 'built up' areas in certain Canadian cities between the years 1971 and 2011. Considering the data provided, the referenced cities of Victoria, Toronto, Edmonton, and Montreal showed varying degrees of expansion and development during the specified period.
However, the question seems to lack specific statistical data for each city to confidently answer which had the highest growth rate. Despite that, based on global trends of urbanization and the historical context of urban development, we can infer that larger cities such as Toronto likely experienced significant growth in their 'built up' areas, due in part to the processes like gentrification and industrial to postindustrial societal transitions.
During the Industrial Era, there was a significant worldwide growth spurt. The rising efficiency of transportation and other advancements led to a shift from rural to urban living, which contributed to the expansion of cities. Urban areas across the globe, including those in Canada, saw an influx of populations and subsequent increase in 'built up' areas.