Math / Geometry

Questioni-Ready Understand Scale Drawings - Instruction - Level G
A scale drawing of a dinosaur is shown. The length of the actual dinosaur is 40 ft . \begin{tabular}{|c|c|} \hline Drawing (in.) & Actual (ft) \\ \hline 3 & \\ \hline 10 & 40 \\ \hline \end{tabular}
Scale Drawing
What is the scale factor from the drawing to the dinosaur? ? $\square$

Studdy Solution

STEP 1

1. The scale drawing represents the dinosaur's length in inches.
2. The actual length of the dinosaur is given in feet.
3. The scale factor relates the drawing length to the actual length.

STEP 2

1. Understand the relationship between the drawing and actual measurements.
2. Calculate the scale factor.

STEP 3

Understand the relationship between the drawing and actual measurements:
- The drawing length of 10 inches corresponds to an actual length of 40 feet.

STEP 4

Calculate the scale factor:
- The scale factor is the ratio of the drawing length to the actual length. - Given: Drawing length = 10 inches, Actual length = 40 feet.
$\text{Scale Factor} = \frac{\text{Drawing Length (inches)}}{\text{Actual Length (feet)}}$ $= \frac{10 \text{ in}}{40 \text{ ft}}$
- Simplify the ratio:
$= \frac{10}{40}$ $= \frac{1}{4}$
The scale factor from the drawing to the dinosaur is:
$\boxed{\frac{1}{4}}$

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