Calculate Rectangle EBFD Area: Using 1/6 Proportion and Parallel Lines

The area of a rectangle is 36.

$EB=\frac{1}{6}AB$

$EF\Vert BD$

Calculate the area of rectangle EBFD.

Since AB is 6 times larger than EB, the area of rectangle EBDF will be smaller than the area of rectangle ABCD accordingly

In other words, the ratio between the smaller rectangle to the larger one is $\frac{1}{6}$

$S_{\text{ABCD}}=6\times S_{EBFD}$

Let's input the known data into the formula:

$36=6\times S_{\text{EBFD}}$

$S_{\text{EBFD}}=6$