# Samtel Papers: Sample Questions 5 - 6 of 6

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## Question number: 5

### Write in Short

Distance between a, b is 60 miles, c is 50 miles from both. Find shortest distance between c and the highway connecting a b. (2004)

### Explanation

• Here, distance between a and b is 60 miles and c is 50 miles from both.
• As c is at the same distance from a and b both, it will be on the line passing through the middle point of a and b. So, we can consider the following figure to know the exact geometry.
• Considering cda, measure of angle cda is 900.

• Applying Pythagoras theorem,

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• Therefore, shortest distance between c and highway joining a and b will be 40 miles.

## Question number: 6

### Write in Short

Area of 2 squares are in the ratio 2: 1. Find the ratio of their perimeter

### Explanation

• Let the length of both squares be l1 and l2
• Area of square is 4l2 and Perimeter is 4l
• Area of first square = Area of second square =
• Perimeter of first square = Perimeter of second square =
• In the given question,

• To find the ratio of perimeter,

• Thus the ratio of perimeter will be : 1