Question
Download Solution PDFA man walking at a speed of 3km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m2) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Man walks 3 km/h
He takes 5 mins to cross the square field diagonally.
Concept used:
If A is the side of the measure of each side of a square, then A2 is the area and A√2 is the measure of its diagonal.
Solution:
Man travels in 5 mins = 3 × (5/60) = 1/4 km = 250m
So, the length of the diagonal of the square field = 250m
Let the measure of each side of the square field be L.
According to the question,
L√2 = 250
⇒ L = 125√2
⇒ L2 = 31250
∴ The area of the square field is 31250m2.
Last updated on Jul 12, 2025
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