Question

a square lawn is surrounded by 4m wide path around it . if the area of the path is 320 square metre . find the area of lawn.

Answer 1

Let the Length of Lawn be a then the length of Lawn+path will be a+4

atq
(a+4)^2-a^2= 320
a^2-a^2 +16 +8a = 320
8a = 304
a= 38 cm
area of Lawn = a^2 = 38×38=1444

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