4. A square lawn is surrounded by a 3 metre wide path around it. If th

1.	4. A square lawn is surrounded by a 3 metre wide path around it. If the area of the path is 180 m, find the area of the lawn.
Answer» Answer: Consider the side of the lawn be X Given width of the path = 3M Side of the lawn including path = x + 2(3m) = x + 6m So, area of lawn = (Area of the lawn including the path) - (Area of the path) Area of a square = (side)2 Therefore, we say : x2 = (x + 6)2 – 180m2 x2 = (x2 + 12x +36) - 180m2 x2 = x2+ 12x + 36 - 180 x2 = x2 + 12x - 144 x2 - 144 = x2 - 12x x*2 - x2 - 144 = -12x -144 = -12x i.e 144 = 12x Hope it HELPS.. plz mark me brainliest

4. A square lawn is surrounded by a 3 metre wide path around it. If the area of the path is 180 m, find the area of the lawn.

Answer»

Answer:

Consider the side of the lawn be X

Given width of the path = 3M

Side of the lawn including path = x + 2(3m) = x + 6m

So, area of lawn =

(Area of the lawn including the path) - (Area of the path)

Area of a square = (side)*2

Therefore, we say :

x*2 = (x + 6)2 – 180m2

x*2 = (x*2 + 12x +36) - 180m2

x*2 = x*2+ 12x + 36 - 180

x*2 = x*2 + 12x - 144

x*2 - 144 = x*2 - 12x

x*2 - x2 - 144 = -12x

-144 = -12x

i.e 144 = 12x

Hope it HELPS.. plz mark me brainliest