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? it 1 lesson 3 practice problems

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

Step3: Calculate the perimeter of Quadrilateral B

The perimeter $P$ of Quadrilateral B is $2 + 3+3 + 4=12$.

Answer:

12