Question

in the diagram ABC is equal to w x y z find the ratio of their perimeters

Answer 1

6.

$\begin{gathered} k\cdot DC=ZY \\ \end{gathered}$

where:

k = Constant of proportionality:

so:

$\begin{gathered} k\cdot32=8 \\ so\colon \\ k=\frac{8}{32} \\ k=\frac{1}{4} \end{gathered}$

Therefore:

$\begin{gathered} k\cdot BC=3.5 \\ so\colon \\ BC=4\cdot3.5 \\ BC=14 \end{gathered}$

Therefore:

Let:

P1 = Perimeter of ABCD

P2 = Perimeter of WXYZ

$\begin{gathered} \frac{1}{4}P1=P2 \\ so\colon \\ \frac{P1}{P2}=4 \end{gathered}$