Chapter 11.1, Problem 21WE

To determine

To Find: The area of the figure.

Answer to Problem 21WE

  $A=39.4sq.units$

Explanation of Solution

Given: Consecutive sides of the figure is perpendicular.

  

  

  $\begin{array}{l}\sin {26}^{°}=\frac{b}{10}\\ b=10\sin {26}^{°}\\ \cos {26}^{°}=\frac{l}{10}\\ l=10\cos {26}^{°}\\ then\\ A=lb\\ A=(10\sin {26}^{°})(10\cos {26}^{°})\\ A=39.4sq.units\end{array}$

Hence, $A=39.4sq.units$