Question

Candice drew a scale drawing of an apartment. The dining room, which is 6 meters long in real life, is 4 centimeters long in the drawing. What is the drawing's scale factor?Simplify your answer and write it as a ratio, using a colon.

Answer 1

ANSWER

1:150

EXPLANATION

The dining room is 6 meters in real life, but 4 centimeters in the drawing, so the equivalence is 6 m = 4cm.

If 1 meter is equivalent to 100 centimeters, the scale factor of the drawing is,

$\frac{4\operatorname{cm}}{6m}\cdot\frac{1m}{100\operatorname{cm}}=\frac{1}{150}$

Hence, the scale factor as a ratio is 1:150