Question

Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?

Answer 1

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

$Scale = 5\ inches : 8\ feet$

Represent the width of the actual gym with w, so, we have the following equivalent ratio

$45\ inches : w = 5\ inches : 8\ feet$

Cancel out the common units

$45: w = 5: 8\ feet$

Express as fraction

$\frac{45}{w} = \frac{5}{8\ feet}$

Cross multiply

$5w = 45 \times 8\ feet$

Divide both sides by 5

$w = 9\times 8\ feet$

$w = 72\ feet$

Hence, the width of the actual gym is 72 feet

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