Question

You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the original drawing, the length of a segment is 4 centimeters. How long should the segment representing the same distance be in the new drawing?
The segment should be __ centimeters long.

Answer 1

Answer:

16 cm long the segment representing the same distance be in the new drawing

Step-by-step explanation:

Proportion states that if two equal ratios or fractions are equal.

As per the statement:

You are recreating a scale drawing at a different scale.

The original scale is 1 cm : 8 m.

Use conversion:

1 m = 100 cm

⇒Original scale = 1 cm : 800 cm

In the original drawing, the length of a segment is 4 centimeters.

then by proportion we have;

$\frac{1}{800} = \frac{4}{x}$

By cross multiply we have;

x = 3200 cm

Since, the new scale is 1 cm : 2 m.

⇒1 cm : 200 cm

We have to find the segment representing the same distance be in the new drawing

Let y be segment representing the same distance be in the new drawing.

then by definition of proportion:

$\frac{1}{200} = \frac{y}{3200}$

By cross multiply we have;

$3200 = 200y$

Divide both sides by 200 we have;

16 = y

or

y = 16 cm

Therefore, 16 cm long the segment representing the same distance be in the new drawing

Answer 2

I know  the segment should be 16 cm long.

Hope this helps, I know it is late, but hope it helps anyway.