Answers

  • Brainly User
2014-10-04T22:41:53+05:30
Maximum area enclosed with sides a, b, c, d of a quadrilateral 
= √[ (s - a)(s - b)(s - c)(s - d) ]  where s = (a + b + c + d) / 2.

Hence maximum area enclosed with pieces of given lengths
= √[ (5 - 1)(5 - 2)(5 - 3)(5 - 4) = √24 = 2√6  
1 4 1
How do you know that it is maximum?
This is the formula for maximum area with given sides. In this case, opposite angles of the quadrilateral are supplementary.