# 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?

Feb 18, 2018

Area of rectangle ${A}_{r} = l \cdot w = 15.1987 \cdot 4 = \textcolor{b r o w n}{60.7947}$

#### Explanation:

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

Applying Pythagoras theorem,

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

Area of rectangle ${A}_{r} = l \cdot w = 15.1987 \cdot 4 = \textcolor{b r o w n}{60.7947}$