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_{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}.

Therefore, the area of the path is

S

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