Rectangle Area Problem: Finding EBFD When EB=1/4AB and Area=16

The area of the rectangle below is: 16.

$EB=\frac{1}{4}AB$

$EF\Vert BD$

Calculate the area of the rectangle EBFD.

Since AB is 4 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 and the larger one is $\frac{1}{4}$

$S_{\text{ABCD}}=4\times S_{EBFD}$

Let's input the known data into the formula:

$16=4\times S_{\text{EBFD}}$

$S_{\text{EBFD}}=4$