Given:
The door of an art museum is constructed with a triangle and rectangle.
First, find the area of the triangle,
[tex]\begin{gathered} A_T=\frac{1}{2}\times b\times h \\ =\frac{1}{2}\times10\times4 \\ =\frac{40}{2} \\ =20ft^2 \end{gathered}[/tex]
Next, find the area of the rectangle.
[tex]\begin{gathered} A_R=l\times w \\ =10\times8 \\ =80ft^2 \end{gathered}[/tex]
Now, the area of the door is,
[tex]\begin{gathered} A=A_T+A_R \\ A=20+80 \\ A=100ft^2 \end{gathered}[/tex]
Answer: The area of the door is 100 square feet.
