# A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of 11 , 4 , and 12 , respectively. What is the rectangle's area?

Feb 16, 2016

${\text{Area}}_{\square} \approx 122.96$ sq.units.

#### Explanation:

Here is my understanding of the arrangement:

By Pythagorean Theorem:
$\textcolor{w h i t e}{\text{XXX}} B = \sqrt{{11}^{2} - {4}^{2}} = \sqrt{105} \approx 10.247$

And the area of the rectangle is
$\textcolor{w h i t e}{\text{XXX}} B \times 12 \approx 10.247 \times 12 \approx 122.96$