Answer :

Solution:

Given : ABCD is a square and BGHE is a rectangle.

To prove : Area of (square ABCD = rectangle BGHE)

Proof:

[tex]\text{1. Area of (square ABCD = parallelogram BCFE$})[/tex]

   [tex][\text{Square ABCD and parallelogram BCFE are on same base CB and both of $}[/tex]

    [tex]\text{their heights is CD.]$}[/tex]

[tex]\text{2. Area of (rectangle BGHE = par. BCFE)$}[/tex]

   [tex]\text{[Rectangle BGHE and parallelogram BCFE are on same base BE, and both$}[/tex]

    [tex]\text{of their heights is EH.]$}[/tex]

[tex]\text{3. Area of (Square ABCD = rectangle BGHE)$}[/tex]

   [tex][\text{From statements 1 and 2.$}][/tex]

Hope you got this!