Square field!

Geometry Level 3

If the area of a square field is 24200 sq.m.,find the time taken by a lady to cross it diagonally at the speed of 6.6km/hr. Give the time in minutes.


The answer is 2.

Prateek Mehra by Prateek Mehra , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Omkar Kulkarni
Jan 9, 2015

Let the side of the field be x.

x 2 = 24200 x^{2} = 24200

x = 110 2 x=110\sqrt{2}

Note that the triangle formed by the diagonal and the corresponding two sides is a right angle triangle, and thus the length of the diagonal is 2 x \sqrt{2}x

Thus, the length of the diagonal is 2 × 110 2 = 220 m = 0.22 k m \sqrt{2} \times 110\sqrt{2} = 220m = 0.22km

Therefore the time taken by the lady is 0.22 6.6 × 60 = 2 \frac {0.22}{6.6} \times 60 = \boxed {2} minutes.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...