On a scale drawing, 1 millimeter equals 4 centimeters. If a line on the drawing is 45 millimeters, how many meters is it actually? 18 m 180 m 1,800 m 1.8 m

Question

asked Dec 22, 2021 154k views

2 Answers

Sentry · Answer 1 · 2021-12-28T07:58:38+0000

Answer:

D. 1.8 m

Explanation:

On a scale drawing,

1 millimeter = 4 centimeters.

A line on the drawing is 45 millimeters, then

1 mm - 4 cm

45 mm - x cm

Write a proportion:

(1)/(45)=(4)/(x)

Cross multiply:

$x=45\cdot 4\\ \\x=180\ cm$

Note that

$1\ m=100\ cm,$

then

1 m - 100 cm

y m - 180 cm

Write a proportion:

(1)/(y)=(100)/(180)

Cross multiply:

$100y=180\\ \\y=1.8\ m$