Length (L): 2w + 3
width (w): w
border (b): [tex]\frac{1}{4} w[/tex]
Area (A) = (L + b) * (w + b) NOTE: This is assuming the width also has a border
= (2w + 3 + [tex]\frac{1}{4} w[/tex]) * (w + [tex]\frac{1}{4} w[/tex])
= [tex](2\frac{1}{4} w + 3)[/tex][tex](1\frac{1}{4} w)[/tex]
= [tex](\frac{9}{4} w + 3)[/tex][tex](\frac{5}{4} w)[/tex]
= [tex]\frac{45}{16} w^2 + \frac{15}{4}w[/tex]