Question

amelias scale drawing of the headboard on her bed is shown below. if 4 inches on the scale drawing equals 2 feet on the real headboard, what is the actual length of the headboard? 2.2 feet 3.2 feet 6.4 feet 8.4 feet

Explanation:

Step1: Find the scale factor

The scale is 4 inches on drawing = 2 feet in real - life. So the scale factor is $\frac{2\text{ feet}}{4\text{ inches}}=\frac{1\text{ foot}}{2\text{ inches}}$.

Step2: Calculate the actual length

The length on the drawing is 12.8 inches. Multiply the drawing length by the scale factor: $12.8\text{ inches}\times\frac{1\text{ foot}}{2\text{ inches}} = 6.4\text{ feet}$.

Answer:

6.4 feet