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 #12 #, #4 #, and #9 #, respectively. What is the rectangle's area?

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Answer 1 · 2018-02-18T03:01:39

Area of rectangle, #A_r = l * b = 9 * 11.3137 ~~ color (green)(101.8234)#

Given : #a = 12, c = 4#, length of rectangle #l = 9#

To find #b#, width of rectangle and area of rectangle.

Applying Pythagoras theorem,

#b = sqrt (a^2 - c^2) = sqrt(12^2 - 4^2) =color(blue)( 11.3137#

b is also the width of the triangle.

#. # Area of rectangle, #A_r = l * b = 9 * 11.3137 ~~ color (green)(101.8234)#