Respuesta :

Given:

Quadrilateral A has side lengths 6,9,9, and 12.

Quadrlateral B with its shortest side length 2.

Required:

(a)Scale factor.

(b)Perimeter of qaudrilateral B.

Explanation:

We have the quadrilateral A with its side lengths 6,9,9, and 12.

Also, the shortest length of side of quadrilateral B is 2.

(a) The scale factor can be calculated by dividing the shortest length of side quadrilateral A by the shortest length of side of quadrilateral B.

Therefore, scale factor is,

[tex]\frac{6}{2}=3[/tex]

Hence, the lengths of sides of quadrilateral B are, 2,3,3, and 4.

(b) The perimeter (P) of quadrilateral B is the sum of lengths of all its sides given by,

[tex]\begin{gathered} P=2+3+3+4 \\ \Rightarrow P=12 \end{gathered}[/tex]

Final Answer:

(a)The scale factor is, 3.

(b)The perimeter of quadrilateral B is 12.