Question

juan just moved into a new condo. he needs a new rug for his patio. a model of a rug seen in a magazine is shown below. image of a rectangle with 6 in marked on the side and scale 3 in : 2 ft how much carpet is used to create the actual rug, in square feet? 2 ft² 36 ft² 16 ft² none of the above

Explanation:

Step1: Find actual length from scale

The scale is \(3\) in : \(2\) ft. The model height is \(6\) in. Let actual height be \(h\).
Set up proportion: \(\frac{3}{2}=\frac{6}{h}\). Solve: \(3h = 12\) → \(h = 4\) ft.
The rug is a square (all angles right, sides equal from marks), so length = height = \(4\) ft.

Step2: Calculate area of rug

Area of square: \(A = s^2\), where \(s = 4\) ft.
\(A = 4^2 = 16\) \(ft^2\).

Answer:

16 \(ft^2\) (corresponding to the option "16 \(ft^2\)")