Question

The main arena hall has dimensions 200 m by 85 m. On a large diagram on the office wall the scale is 1:40. What are the dimensions of the floor space on the diagram?

Answer 1

$\bf \cfrac{model}{actual}\qquad \cfrac{1}{40}\qquad \cfrac{x}{\stackrel{length}{200}}=\cfrac{1}{40}\implies x=\cfrac{200\cdot 1}{40} \\\\\\ \cfrac{model}{actual}\qquad \cfrac{1}{40}\qquad \cfrac{y}{\stackrel{width}{85}}=\cfrac{1}{40}\implies y=\cfrac{85\cdot 1}{40}$