# 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 #9 #, #8 #, and #22 #, respectively. What is the rectangle's area?

##### 1 Answer

Feb 5, 2018

#### Explanation:

#"the area of the rectangle "=color(red)(22B)#

#"calculate B using "color(blue)"Pythagoras' theorem"#

#B=sqrt(9^2-8^2)=sqrt17#

#rArr"area "=22sqrt17~~90.71" square units"#