Question

lesson 2 | session 1
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

Explanation:

Step1: Find the scale factor

The actual width is $\frac{1}{2}$ inch and the drawing width is 1 inch. The scale factor $k$ is $\frac{\text{drawing width}}{\text{actual width}}=\frac{1}{\frac{1}{2}} = 2$.

Step2: Calculate the drawing length

The actual length is 5 inches. Using the scale factor, the drawing length $L$ is $L=\text{actual length}\times k$. Substitute $k = 2$ and actual length $= 5$ inches. So $L=5\times2=10$ inches.

Answer:

10 inches