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 $11$ $11$ , $4$ $4$ , and $12$ $12$ , respectively. What is the rectangle's area?

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Answer 1 · 2016-02-16T21:51:02

$"Area"_square ~~122.96$ sq.units.

Here is my understanding of the arrangement:
enter image source here

By Pythagorean Theorem:
$color(white)("XXX")B= sqrt(11^2-4^2) =sqrt(105) ~~10.247$

And the area of the rectangle is
$color(white)("XXX")Bxx12 ~~10.247xx12 ~~122.96$

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 1111 , 4 44 , and 12 1212 , respectively. What is the rectangle's area?