A rectangular park is having a grass field of 18cm long and 15 cm wide such that there is a path of 1.5 cm along each of its sides extending outside on each side of the park. The area of the path is 108 cm2
Question
A rectangular park is having a grass field of 18cm long and 15 cm wide such that there is a path of 1.5 cm along each of its sides extending outside on each side of the park. The area of the path is 108 cm2
Solution
The question seems to be asking for the dimensions of the entire park including the path.
Step 1: First, let's find the area of the grass field which is length times width. So, 18 cm * 15 cm = 270 cm².
Step 2: We know that the area of the path is 108 cm².
Step 3: The total area of the park including the path is the area of the grass field plus the area of the path. So, 270 cm² + 108 cm² = 378 cm².
Step 4: We know that the path extends 1.5 cm on each side of the park. So, the total length of the park including the path is 18 cm (length of the grass field) + 1.5 cm (path on one side) + 1.5 cm (path on the other side) = 21 cm.
Step 5: Similarly, the total width of the park including the path is 15 cm (width of the grass field) + 1.5 cm (path on one side) + 1.5 cm (path on the other side) = 18 cm.
So, the dimensions of the entire park including the path are 21 cm by 18 cm.
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