Problem

Scale Factor Geometry
A scale drawing of a living room is shown below. The scale used to create this drawing is $1 \mathrm{in} .=2$ ft.
246810 inches
(b) $\mathrm{K}$
What is the area of the actual living room?
A $36 \mathrm{ft}^{2}$
(3) $04 \mathrm{ft}^{2}$
C $120 \mathrm{ft}^{2}$
D $144 \mathrm{ft}^{2}$

Answer

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Answer

Calculate the area of the actual living room: area = actual_length * actual_width = 16 * 12 = \(\boxed{192}\) ft^2

Steps

Step 1 :Find the dimensions of the actual living room in feet: actual_length = 8 * 2 = \(16\) ft, actual_width = 6 * 2 = \(12\) ft

Step 2 :Calculate the area of the actual living room: area = actual_length * actual_width = 16 * 12 = \(\boxed{192}\) ft^2

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