Problem 8 - Entrance Test

To find the area of the path, we first find the area of the larger rectangle including the path and then subtract the area of the garden. The dimensions of the larger rectangle are (10+2*1) by (5+2*1), which is 12 meters by 7 meters. The area of this larger rectangle is 12 * 7 = 84 square meters. The area of the garden itself is 10 * 5 = 50 square meters. So, the area of the path is 84 - 50 = 34 square meters. However, this calculation seems slightly off based on the provided options; correctly, it should be recalculated as the difference between the outer and inner areas. The outer area is indeed 12*7 = 84 square meters, and the inner area is 10*5 = 50 square meters. The correct difference, and thus the area of the path, is 84 - 50 = 34 square meters, but considering the given options and reevaluating, if we calculate the area of the path by adding the lengths of the sides of the garden and the path and then subtracting the area of the garden, we might find the closest answer. However, based on the calculation provided, none of the given options match exactly, suggesting a recalibration towards the exact question might yield a different approach or indicate an error in calculation or options provided.