Question

anula is making a scale model of her kitchen table for her dollhouse. the actual table top is a rectangle with dimensions 36 in by 48 in. a model of the table top will be created using a scale factor of \\(\frac{1}{12}\\). what is the perimeter of the scale model of the table top? perimeter = \\(\square\\) inches

Explanation:

Step1: Find scaled dimensions

Actual length: 48 in, width: 36 in. Scale factor $\frac{1}{12}$.
Scaled length: $48\times\frac{1}{12}=4$ in.
Scaled width: $36\times\frac{1}{12}=3$ in.

Step2: Calculate perimeter of rectangle

Perimeter formula: $P = 2(l + w)$.
Substitute $l = 4$, $w = 3$:
$P = 2(4 + 3) = 2\times7 = 14$ in.

Answer:

14