Question

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answer 1

To find the actual length when the scale drawing is 2 cm = 15 m and the measured length on the drawing is 12 cm, set up a proportion and solve it to find that the actual length is 90 meters.

Step-by-step explanation:

If a scale drawing has a scale of 2 cm = 15 m, and the length of an object on the drawing is 12 cm, we can find the actual length by setting up and solving a proportion. First, write the scale as a ratio: 2 cm/15 m. To find the actual length corresponding to 12 cm on the drawing, set up the proportion as follows:

(2 cm / 15 m) = (12 cm / x m)

Now, cross multiply:

2 cm * x m = 12 cm * 15 m,

which simplifies to:

2x = 180.

Divide both sides of the equation by 2 to solve for x:

x = 180 / 2,

x = 90 m.

Therefore, the actual length is 90 meters.

Answer 2

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters