Variation can be direct, inverse or joint.
The perimeter is 243 cm
Represent perimeter with P and side lengths with L.
So, we have:
[tex]\mathbf{P\ \alpha\ L}[/tex]
Express as an equation
[tex]\mathbf{P = kL}[/tex]
Where k is the constant of variation.
Make k the subject
[tex]\mathbf{k = \frac PL}[/tex]
So, we have:
[tex]\mathbf{\frac{P_1}{L_1} = \frac{P_2}{L_2}}[/tex]
Make P2 the subject
[tex]\mathbf{P_2 = L_2 \times \frac{P_1}{L_1} }[/tex]
Substitute the given parameters
[tex]\mathbf{P_2 = 81 \times \frac{153}{51} }[/tex]
[tex]\mathbf{P_2 = 81 \times 3 }[/tex]
[tex]\mathbf{P_2 = 243}[/tex]
Hence, the perimeter is 243 cm
Read more about variations at:
https://brainly.com/question/16510700
