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With the help of above information lets draw a figure in which every place are indicated with his coordinates and direction also.

By using the distance formula, we know the distance between two points (x1, y1) and (x2, y2);

D =

Now calculate the;

Distance between house and bank;

=

=

Distance between bank and daughter’s school;

=

= 10

Distance between daughter’s school and office;

=

= 12

Total distance (House + Bank + School + Office) travelled = 5 + 10 + 12 = 27 units

Distance between house to offices =

= 24.59 = 24.6 km

So,

Extra distance travelled by Ayush in reaching his office = 27 – 24.6 = 2.4 km

Hence, the extra distance travelled by Ayush is 2.4 km.

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