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=(8)/(32) \\ k=(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} (1)/(4)P1=P2 \\ so\colon \\ (P1)/(P2)=4 \end{gathered}`