# Answer to Question #2586 in Geometry for kalyan chakravarthy

Question #2586

A rectangular field of 150 m by 100 m has 10 m a path around it. & Find the area of the path.

Expert's answer

The dimentions of the outer border are A = 150 + 2*10 = 170 m and B = 100 + 2*10 = 120 m. The area of the field with borders is S

Therefore, the area of the path is

S

_{2}= A*B = 170 * 120 = 20400 m^{2}. The area of the field without the borders is S_{1}= 150 *100 = 15000m^{2}.Therefore, the area of the path is

S

_{2}- S_{1}= 20400 - 15000 = 5400 m^{2}.Need a fast expert's response?

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