Question

a horticulturist is planning a garden that is 1 m × 3 m. she uses a model to plan it. which dimensions could she use to make a scale model?
a. 1 m × 2 m
b. 0.5 m × 1.5 m
c. 16 cm × 36 cm
d. 50 cm × 100 cm

Explanation:

Step1: Find the ratio of the original garden dimensions

The original garden has dimensions 1 m × 3 m, and the ratio of the sides is $\frac{1}{3}$.

Step2: Check the ratios of each option

Option A:

For 1 m × 2 m, the ratio is $\frac{1}{2}
eq\frac{1}{3}$.

Option B:

For 0.5 m × 1.5 m, the ratio is $\frac{0.5}{1.5}=\frac{1}{3}$.

Option C:

16 cm × 36 cm. First convert to meters: 0.16 m × 0.36 m. The ratio is $\frac{0.16}{0.36}=\frac{4}{9}
eq\frac{1}{3}$.

Option D:

50 cm × 100 cm. Convert to meters: 0.5 m × 1 m. The ratio is $\frac{0.5}{1}=\frac{1}{2}
eq\frac{1}{3}$.

Answer:

B. 0.5 m × 1.5 m