Question

what number can you multiply each length in the scale drawing by to find the actual length?
(image of a rectangle with w = 5 in, l = 8 in, and scale 1 in. : 2 ft)

Explanation:

Step1: Understand the scale

The scale given is \( 1 \text{ in.} : 2 \text{ ft} \), which means 1 inch on the drawing represents 2 feet in actual length.

Step2: Determine the multiplier

To find the actual length from the scale drawing length, we multiply the drawing length (in inches) by the number of feet per inch in the scale. Here, each inch in the drawing corresponds to 2 feet in actual length. So the multiplier is 2 (when considering the conversion from inches on the drawing to feet in actual, but since the question is about multiplying each length in the drawing (in its unit, here inches) to get actual length (in feet), the multiplier is 2 (because 1 in drawing * 2 ft/in drawing = actual length). Wait, more precisely, the scale factor for length is that 1 inch drawing = 2 feet actual. So to get actual length (in feet) from drawing length (in inches), we multiply by 2 (ft per inch of drawing).

Answer:

2