Question

A man crosses a diagonal of square in two minutes at the speed of 6 km/hr. find the area of the square-/

Answer 1

Given data:
Speed of the man = 6 km/hr = (6 x 1000) / 3600 = 1.667 m/sec
Time = 2 min = 2 x 60 = 120 sec
Area of the square = ?
Solution:
As it is given that man crosses the diagonal of square with a speed of 1.667 m/sec. 
In 2 min or 120 sec, the man will go = 1.667 x 120 = 200 m
This means that the diagonal of the square field = 200 m
We know that,
Diagonal of square field = Side square field x √ 2
2000 = Side of square field x √ 2
Side of square field = 200 / √2
Side of square field = 200 / 1.4142
Side of square field = 141.42 m
Area of square field = (Side of square field)²
Area of square field = (141.42)²
Area of square field = 20,000 m²
Which shows that the area of the square field is 20,000 m²
Hope it will help you. Thanks.

Answer 2

Given :

Speed of man= 6 km/h

Time taken= 2 min

speed of the man =(6×1000)/3600 m/s

= 6×5/18 m/s = 5/3= m/s

time taken = 2 minutes = 2× 60 sec = 120 sec


length of diagonal = Distance covered in 2 minutes= speed × time

=( 5/3) ×120 =5×40= 200m

Area of the square = (1/2) ×(diagonal)²

Area of the square= (1/2)× (200×200) m²=

=100× 200= 20000 m²

Hence, the area of the square is 20000 m²

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Hope this will help you....