Question

the door of an art museum is being constructed with the dimensions shown. find the area of the door

Answer 1

Given:

The door of an art museum is constructed with a triangle and rectangle.

First, find the area of the triangle,

$\begin{gathered} A_T=\frac{1}{2}\times b\times h \\ =\frac{1}{2}\times10\times4 \\ =\frac{40}{2} \\ =20ft^2 \end{gathered}$

Next, find the area of the rectangle.

$\begin{gathered} A_R=l\times w \\ =10\times8 \\ =80ft^2 \end{gathered}$

Now, the area of the door is,

$\begin{gathered} A=A_T+A_R \\ A=20+80 \\ A=100ft^2 \end{gathered}$

Answer: The area of the door is 100 square feet.