The length and the breadth of a lawn are 15 meters and 12 meters, respectively. A landscaper is trying to make a 2-meter-wide path all around the lawn. What is the area (in square meters) of the path?
Question
The length and the breadth of a lawn are 15 meters and 12 meters, respectively. A landscaper is trying to make a 2-meter-wide path all around the lawn. What is the area (in square meters) of the path?
Solution
Step 1: First, we need to find the area of the lawn. The area of a rectangle is given by the formula length x breadth. So, the area of the lawn is 15 meters x 12 meters = 180 square meters.
Step 2: The landscaper is making a 2-meter-wide path all around the lawn. This means the length and breadth of the lawn including the path will be increased by 2 meters on each side. So, the new length will be 15 meters + 2 meters + 2 meters = 19 meters and the new breadth will be 12 meters + 2 meters + 2 meters = 16 meters.
Step 3: Now, we find the area of the lawn including the path. Using the formula for the area of a rectangle, we get 19 meters x 16 meters = 304 square meters.
Step 4: Finally, to find the area of the path alone, we subtract the area of the lawn from the total area (lawn + path). So, the area of the path is 304 square meters - 180 square meters = 124 square meters.
So, the area of the path is 124 square meters.
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