Answer:
40 square units
Step-by-step explanation:
First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]
the diagonal's square is [tex]l\sqrt{2}[/tex]
CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)
[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]
CALCULATION OF MAIN SQUARE AREA
[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]
TOTAL AREA
[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]
