4. Dimensions of a rectangular plot is 100 m by 50 m. A path of uniform width 5m is constructed around it, Find the area of the path.
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4. Dimensions of a rectangular plot is 100 m by 50 m. A path of uniform width 5m is constructed around it, Find the area of the path.
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Answer:
1600 square meters
Step-by-step explanation:
To find the area of the path surrounding the rectangular plot, we can subtract the area of the inner rectangle from the area of the outer rectangle.
Step 1: Calculate the area of the outer rectangle.
The dimensions of the outer rectangle are 100 m + 2 * 5 m (width) and 50 m + 2 * 5 m (length).
So, the area of the outer rectangle is (100 + 2 * 5) m * (50 + 2 * 5) m = 110 m * 60 m = 6600 m².
Step 2: Calculate the area of the inner rectangle.
The dimensions of the inner rectangle are 100 m (width) and 50 m (length).
So, the area of the inner rectangle is 100 m * 50 m = 5000 m².
Step 3: Calculate the area of the path.
The area of the path is the difference between the areas of the outer and inner rectangles.
So, the area of the path is 6600 m² - 5000 m² = 1600 m².
Therefore, the area of the path is 1600 square meters.
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