Area of a Rectangle: Calculation using percentages

Let's begin by calculating side AB:

$AB=BC+40\%$

$AB=6+40\%$

$AB=6+\frac{40}{100}\times6$

$AB=6+\frac{4}{10}\times6$

$AB=6+\frac{4\times6}{10}=6+\frac{24}{10}=6+2.4=8.4$

We can now calculate the area of the rectangle by multiplying the length by the width:

$8.4\times6=50.4$

First, let's find the length of side AB:

$AB=AD+35\%$

$AB=9+35\%$

$AB=9+\frac{35}{100}\times9$

$AB=9+\frac{35\times9}{100}$

$AB=9+\frac{315}{100}$

$AB=9+3.15=12.15$

Now we can calculate the area of the rectangle by multiplying the length by the width:

$12.15\times9=109.35$