Question

Meera stepped out of her house to buy some vegetables. She travelled west 9 km from her house, then took a left turn and travelled 6 km to reach
junction 'A'. There she took a right turn and travelled 10 km, then turned 90° in clock-wise direction and travelled 4 km to reach junction B. At 'B' she
turned left to travel 6 km and took a final right turn to reach the market after 8 more km. What is the shortest distance between junction 'A' and the
market?​

Answer 1

Given:

Meera stepped out of her house to buy some vegetables.

To find:

What is the shortest distance between junction 'A' and the

market?​

Solution:

From given, we have,

Meera travelled west 9 km from her house, then took a left turn and travelled 6 km to reach  junction 'A'.

There she took a right turn and travelled 10 km, then turned 90° in clock-wise direction and travelled 4 km to reach junction B.

At 'B' she  turned left to travel 6 km and took a final right turn to reach the market after 8 more km.

Using Pythagoras theorem, we have,

The shortest distance = √[ (10 - 6)² + (8 + 4)²]

= √(16 + 144)

= √160

= 4√10 km

Therefore, the shortest distance is 4√10 km