A square garden has a 2 m wide path surrounding it. If the area of the

1.	A square garden has a 2 m wide path surrounding it. If the area of the path is136 m 2, find the area of the garden
Answer» Here is your answer friend, Let the side of the Square garden be X therefore the area of the Square garden will be, ${x}^{2}$ $(area = {side}^{2} )$ And then, we can observe from the figure that the side of the LARGER square(square including the path) will be X+4 And from the figure we can see that the area of the path = area of larger square - area of SMALLER one. so on SUBSTITUTING it we GET, ${(x + 4)}^{2} - {x}^{2} = 136$ (136 is given.i.e area of path) so we get, ${x}^{2} + 8x + 16 - {x}^{2} = 136$ and both the X2 will cancel out, so $8x + 16 = 136$ $8x = 120$ and so, $x = 120 \div 8$ that is, $x = 15$ that means we got the side of the garden that is X = 15m so to find the area we get, $area = {x}^{2} = {15}^{2} = 225 {m}^{2}$ HOPE YOU GOT IT, THIS IS MY 100TH ANSWER..