Andrea has just created a scale drawing of her bedroom room which is 18 feet long by 12 feet wide. The scale drawing shows the length as 6 inches. What is the width on the scale drawing?

Respuesta :

Width of the scale drawing is 4 inches

Step-by-step explanation:

We can solve this problem by using the rule of three.

In fact, the actual size of the bedroom are:

[tex]L=18 ft[/tex] (length)

[tex]W=12 ft[/tex] (width)

In the drawing instead, the actual sizes on scale are

[tex]L' = 6 in[/tex] (length in the scale drawing)

[tex]W'[/tex] (width in the scale drawing)

Therefore, applying the rule of three,

[tex]\frac{L'}{L}=\frac{W'}{W}[/tex]

And solving for W', we find the width on the scale drawing:

[tex]W'=\frac{L'W}{L}=\frac{(6 in)(12 ft)}{18 ft}=4 in[/tex]

So, the width on the scale drawing is 4 inches.

Learn more about scales and rule of three:

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