find the area of the path running outside if the dimensioned field is 15 m by 10 m and breadth of the path is 0.5 m

Dimension of the field is 15 m by 10 m.
So, area of the field = $15\times 10 = 150 {\mathrm{m}}^2$
Breadth of the path is 0.5 m.
So, dimensions of the field including path is (15 + 0.5 + 0.5) i.e 16 m by (10 + 0.5 + 0.5) i.e. 11 m.
Then, area of the field including path = $16\times 11 = 176 {\mathrm{m}}^2$
Therefore, area of the path = area of the field including path - area of the field = $176 {\mathrm{m}}^2-150 {\mathrm{m}}^2 = 26 {\mathrm{m}}^2$