Question

3 muna is making a scale drawing of a gecko. the gecko is $\frac{1}{2}$ inch wide and 5 inches long.
a. she decides to make her drawing of the gecko 1 inch wide. how long will the drawing be? show your work.
solution
b. check your answer to problem 3a. show your work.

Explanation:

Step1: Find scale factor

Scale factor $= \frac{\text{Drawing width}}{\text{Actual width}} = \frac{1}{\frac{1}{2}} = 2$

Step2: Calculate drawing length

Drawing length $= \text{Actual length} \times \text{Scale factor} = 5 \times 2 = 10$

Step3: Verify with ratio check

Actual ratio: $\frac{\text{Actual length}}{\text{Actual width}} = \frac{5}{\frac{1}{2}} = 10$
Drawing ratio: $\frac{\text{Drawing length}}{\text{Drawing width}} = \frac{10}{1} = 10$

Answer:

a. 10 inches
b. The ratio of length to width for the actual gecko is 10, and the ratio of length to width for the drawing is also 10, so the answer is correct.