MathDB

Consider a rectangular sheet of paper

ABCD

such that the lengths of

AB

and

AD

are respectively

7

and

3

centimetres. Suppose that

B'

and

D'

are two points on

AB

and

AD

respectively such that if the paper is folded along

B'D'

then

A

falls on

A'

on the side

DC

. Determine the maximum possible area of the triangle

AB'D'

Problem Statement