An old community soccer field, whose area is 600 yd², is enlarged by a scale factor of 9 to create a new outdoor recreation complex to host additional activities for field hockey, football, baseball, and swimming.

what is the total area of the new recreation complex? step by step

Since we are concerned with the area of the new recreation complex and are given with the scale factor, we square the given scale factor and multiply the answer with the original area. 
                                   new area = (600 yd²)(9²) 
                                                 = 48,600 yd²
Thus, the new area is equal to 48,600 yd².