Question : Directions: Deepa starts from her house and cycles 4 km towards the north and then turns left and cycles 6 km. She again turns left and cycles for X km to reach her school. Point A is to the east of her school and also 3 km to the south of her house. What is the value of X?
Option 1: 1 km
Option 2: 7 km
Option 3: 9 km
Option 4: 3 km
Correct Answer: 7 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, B is the starting point (Deepa's house) and E is the endpoint (Deepa's school).
AB = 3 km; BC = 4 km; CD = 6 km; DE = X km
As, DE = AC
AC = AB + BC = 3 + 4 = 7
So, DE = AC = 7 km
Thus, the value of X is 7 km. Hence, the second option is correct.
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