To find the actual length of the elephant using the scale provided (1/4 inch = 2 feet), you can set up a conversion based on the scale.
- If you measure the length of the elephant on Logan's drawing in inches, let's denote this measurement as \( x \) inches.
- Since the scale states that 1/4 inch represents 2 feet, you can first calculate how many 1/4 inch segments there are in \( x \) inches: \[ \text{Number of } \frac{1}{4} \text{ inch segments} = \frac{x}{\frac{1}{4}} = 4x \]
- Now, each of these segments corresponds to 2 feet. Therefore, the actual length \( L \) of the elephant in feet can be calculated as: \[ L = \text{Number of segments} \times \text{Length represented by each segment} \] \[ L = 4x \times 2 = 8x \text{ feet} \]
So, for every inch measured on the drawing, the actual length of the elephant will be \( 8 \times \) that number in feet.
For example, if Logan's drawing measures 1 inch, the actual length of the elephant would be: \[ L = 8 \times 1 = 8 \text{ feet} \]
If you have the specific measurement from the drawing, you can plug that value into the formula \( L = 8x \) to find the actual length.