Question

The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

Answer 1

SOLUTION

Let ‘a’ meters be the length of a side of the square field.

Area = a² square meters. --- (1)

Diagonal ‘d’ of a square with ‘a’ meters = √2 a –-- (2)

From (1) and (2), we can say that the square of the diagonal

• d² = 2a²
• d = √(2 × area)
• d = √(2 × 24200)
• d = √(48400)
• d = 220 meters

Time taken = Distance / Speed

= 220 meters / 6.6 kmph

• converting 1 km = 1000 m
• 1 hour = 60 minutes

= 220 × 60 / 6.6 × 1000

= 22 × 6 / 66

= 22 / 11

= 2 minutes

★ Hence, lady will take 2 minutes to cross the field diagonally at the rate of 6.6 km/hr.

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