Question
A rectangular garden has a length of 15 meters and a width of 8 meters. A path 2 meters wide is constructed all around the garden. What is the area of the path?
Solution
The area of the path is the difference between the area of the larger rectangle (including the path) and the area of the original rectangle. The dimensions of the larger rectangle are: Length = 15 + 2 + 2 = 19 meters Width = 8 + 2 + 2 = 12 meters The area of the larger rectangle = 19 × 12 = 228 m² The area of the original rectangle = 15 × 8 = 120 m² Area of the path = 228 - 120 = 108 m² Correct Option: d) 120 m²
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