Question

9. A square lawn is surrounded by a path 2.5 m wide. If the area of the path is 165 mº find
the area of the lawn.
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the side of lawn be x m. Given that width of the path = 2.5 m Side of the lawn including the path = (x + 2.5 + 2.5) m = (x + 5) m Therefore, area of lawn = (Area of the lawn including the path) – (Area of the path) We know that the area of a square = (Side)2 Area of lawn (x2) = (x + 5)2 – 165 x2 = (x2 + 10x + 25) – 165 165 = 10x + 25 165 – 25 =10x 140 = 10x Therefore x = 140/10 = 14 Thus the side of the lawn = 14 m Therefore, The area of the lawn = (14 m) 2  = 196 m2Read more on Sarthaks.com - https://www.sarthaks.com/690383/square-lawn-is-surrounded-by-path-wide-if-the-area-of-the-path-is-165-find-the-area-of-the-lawn