Question

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 :

Answer 1

2xy is the total area of pathway

Answer 2

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