Question

Neeraj’s house is 1 km in the east of origin (0,0), While going to the school first he takes auto till hospital at B(4,4). From the hospital (4,4) to church (4,8) he travels by city bus. From church C(4,8) he rides in a metro train and he reaches the school at D(-5,8). All the unites are in km

Answer 1

Given:

Neeraj’s house is 1 km in the east of origin (0,0), While going to the school first he takes an auto to the hospital at B(4,4). From the hospital (4,4) to church (4,8) he travels by city bus. From church C(4,8) he rides in a metro train and he reaches the school at D(-5,8). All the units are in km

To Find:

Find the total distance from his house to school.

Solution:

To find the total distance first we will need to calculate the distances individually from one point to another using the distance formula, which goes as

From (0,0) to (4,4)

$D1=\sqrt{4^2+4^2} \\=4\sqrt{2} km$

From (4,4) to (4,8)

$D2=\sqrt{0^2+4^2}\\=4km$

From (4,8) to (-5,8)

$D3=\sqrt{9^2+0^2}\\=9km$

So the total distance will be the sum of these individual distances,

$D=D1+D2+D3\\=4\sqrt{2} +4+9\\=13+4\sqrt{2}$

Hence, the total distance travelled by Neeraj is (13+4root2)km.

Right Question:

Neeraj’s house is 1 km in the east of origin (0,0), While going to the school first he takes an auto to the hospital at B(4,4). From the hospital (4,4) to church (4,8) he travels by city bus. From church C(4,8) he rides in a metro train and he reaches the school at D(-5,8). All the units are in km then find the total distance travelled.