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=(1)/(2)* b* h \\ =(1)/(2)*10*4 \\ =(40)/(2) \\ =20ft^2 \end{gathered}`

Next, find the area of the rectangle.

`\begin{gathered} A_R=l* w \\ =10*8 \\ =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.