A rectangular plot of lawn of length and width respectively x and y metres is surrounded by a pathway of 2 metres width. the total area of pathway is :
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2xy is the total area of pathway
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Answer: 4x + 4y + 16
Step-by-step explanation:
Length of the lawn including pathway = x + 2 + 2 = x + 4
Breadth of the lawn including pathway = y + 2 + 2 = y + 4
∴Area of the lawn including of pathway = (x + 4) (y + 4)
∴ Area of pathway = Area of the lawn including pathway – Area of the lawn. = (x + 4) (y + 4) – xy = 4x + 4y + 16
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