Question

question 8 of 25 a school uses a model to plan a greenhouse that is 6 m x 30 m. which dimensions can they use to create a scale model? a. 18 cm x 80 cm b. 1 m x 5 m c. 2 cm x 10 m d. 1 m x 15 m

Explanation:

Step1: Find the ratio of the original dimensions

The ratio of the original greenhouse dimensions is $\frac{6}{30}=\frac{1}{5}$.

Step2: Check the ratios of each option

Option A

The ratio of $18$ cm to $80$ cm is $\frac{18}{80}=\frac{9}{40}$, not $\frac{1}{5}$.

Option B

The ratio of $1$ m to $5$ m is $\frac{1}{5}$, which is the same as the ratio of the original greenhouse dimensions.

Option C

First convert to the same unit. $10$ m = $1000$ cm. The ratio of $2$ cm to $1000$ cm is $\frac{2}{1000}=\frac{1}{500}$, not $\frac{1}{5}$.

Option D

The ratio of $1$ m to $15$ m is $\frac{1}{15}$, not $\frac{1}{5}$.

Answer:

B. 1 m x 5 m