Question

1. quadrilateral a has side lengths 6, 9, 9, and 12. quadrilateral b is a scaled copy of quadrilateral a, with its shortest side of length 2. what is the perimeter of quadrilateral b?

Explanation:

Step1: Find the scale - factor

The shortest side of quadrilateral A is 6 and the shortest side of quadrilateral B is 2. The scale - factor $k=\frac{2}{6}=\frac{1}{3}$.

Step2: Find the other side - lengths of quadrilateral B

The other side - lengths of quadrilateral A are 9 and 12. The corresponding side - lengths of quadrilateral B are $9\times\frac{1}{3} = 3$ and $12\times\frac{1}{3}=4$.

Step3: Calculate the perimeter of quadrilateral B

The perimeter $P$ of a quadrilateral is the sum of its side - lengths. So $P=2 + 3+3 + 4=12$.

Answer:

12