Problem $1.$ A rectangular maker drawn on a connective tissue specimen

subjected to loading deforms from blue to red. Determine all the $2$D strains.

$A=(0,0)$

$A^{\text{'}}=(1,2)$

$B=(1,0)$

$B^{\text{'}}=(1\mathrm{.}64,3\mathrm{.}02)$

$C=(0,1)$

$C^{\text{'}}=(0\mathrm{.}54,2\mathrm{.}72)$

$D=(1,1)$

$D^{\text{'}}=(1\mathrm{.}18,3\mathrm{.}74)$