As given by the question
There are given that the rectangle.
Now,
First, find the missing side of the triangle:
So,
From the given right angle triangle:;
[tex]\begin{gathered} x^2+6^2=10^2 \\ x^2+36=100 \\ x^2=100-36 \\ x=\sqrt[\square]{64} \\ x=8 \end{gathered}[/tex]
Now,
The area of the given rectangle is:
[tex]\begin{gathered} A=\text{length}\times height \\ A=10\times8 \\ A=80ft^2 \end{gathered}[/tex]
Hence, the area of the given figure is 80 ft^2.
