Answer:
1. 1800 square cm.
2. See below
3. 45000 square cm.
Step-by-step explanation:
Part 1
The dimensions of the drawing are 36cm by 50cm.
![\begin{gathered} \text{The area of the board}=36*50 \\ =1800\operatorname{cm}^2 \end{gathered}]()
Part 2
Given a scale factor, k
If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.
Part 3
![\begin{gathered} \text{Area of the scale drawing}=1800\operatorname{cm}^2 \\ \text{Scale Factor,k=5} \end{gathered}]()
Therefore, the area of the actual drawing will be:
![\begin{gathered} 1800*5^2 \\ =45,000\operatorname{cm}^2 \end{gathered}]()