Question

figures abcd and efgh are similar.
the scale factor of figure abcd to figure efgh 2 : 1
if side fg is 112 mm, what is the length of bc?
note: the shapes are not drawn to scale.
bc = \boxed{} mm
(calculator button)

Explanation:

Step1: Recall scale factor for similar figures

For similar figures, the ratio of corresponding sides is equal to the scale factor. The scale factor of \(ABCD\) to \(EFGH\) is \(2:1\), so \(\frac{BC}{FG}=2\).

Step2: Substitute \(FG = 112\) mm

We know \(FG = 112\) mm, so \(BC=2\times FG\). Substituting the value, \(BC = 2\times112 = 224\) mm.

Answer:

\(224\)