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

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 = $176{\mathrm{m}}^{2}-150{\mathrm{m}}^{2}=26{\mathrm{m}}^{2}$

**
**