Let's set up a ratio (or proportion) for the scale on the drawing...
cm:m = 1:10.....scale on drawing,
"centimeters to meters"
So...
If the scaled length (L) on the drawing is 2cm...
1:10 = 2:L.........ratio for length (L)
1/10=2/L..........write as fractions
∴ L=20m........cross-multiply, solve for "L"
If the scaled width (W) on the drawing is 0.5cm...
1:10 = 0.5:W....ratio for width (W)
1/10=0.5/W.....write as fractions
∴ W=5m........cross-multiply, solve for "W"
The formula for perimeter of a rectangle is...
P=2(L+W)
=2(20+5)....substitute for "L, W"
=2(25)........simplify
∴ P=50m
In summary, the perimeter of the actual portable stage is 50 meters.
