Ayush starts walking from his house to his of | vedclass

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(A) The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.$1$. Di

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$2.4$

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(A) The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.$1$. Distance from House $(2,4)$ to Bank $(5,8)$:$d_1 = \sqrt{(5-2)^2 + (8-4)^2} = \sqrt{3^2 + 4^2} = \sqrt{9+16} = \sqrt{25} = 5 \, km$.$2$. Distance from Bank $(5,8)$ to School $(13,14)$:$d_2 = \sqrt{(13-5)^2 + (14-8)^2} = \sqrt{8^2 + 6^2} = \sqrt{64+36} = \sqrt{100} = 10 \, km$.$3$. Distance from School $(13,14)$ to Office $(13,26)$:$d_3 = \sqrt{(13-13)^2 + (26-14)^2} = \sqrt{0^2 + 12^2} = 12 \, km$.Total distance travelled by Ayush $= 5 + 10 + 12 = 27 \, km$.$4$. Direct distance from House $(2,4)$ to Office $(13,26)$:$d_{direct} = \sqrt{(13-2)^2 + (26-4)^2} = \sqrt{11^2 + 22^2} = \sqrt{121 + 484} = \sqrt{605} \approx 24.6 \, km$.Extra distance travelled $= 27 - 24.6 = 2.4 \, km$.

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