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 #16 #, #5 #, and #4 #, respectively. What is the rectangle's area?

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Answer 1 · 2018-02-18T03:07:12

Area of rectangle #A_r = l * w = 15.1987 * 4 = color (brown)(60.7947)#

#a = 16, c = 5, w = 4, b = l#

Applying Pythagoras theorem,

#b = l = sqrt(a^2 - c^2) = sqrt(16^2 - 5^2) = color (blue)(15.1987#

Area of rectangle #A_r = l * w = 15.1987 * 4 = color (brown)(60.7947)#