Scale drawings 20ft by 30ft. 1/2imch=10ft

Answer 1

I recommend setting up a proportion (one fraction or ratio set equal to another), since it is a reliable and transparent way to solve this type of problem.

20 feet 10 feet

_________ = __________

x inches 1/2 inch

We can solve proportions by cross-multiplying.

(20)(1/2) = 10x

10 = 10x

1 = x

So the 20 feet in real life would be represented by a one-inch line on the scale drawing.

We will use another technique to figure out how long the scale-drawing line would be that would represent the 30-foot distance. We ask ourselves, "How many groups of 10 feet are in 30 feet?" We ask this, because, for every 10 feet, the scale drawing will be half-inch long.

The answer to the question is that there are THREE groups of 10 feet in 30 feet. Thus, the scale drawing will be THREE times one-half inch, which equals three half-inches or one-and-a-half inches.

The scale drawing would be 1 inch by 1.5 inches.