(Solved): The square plate is deformed into the shape shown by the dashed lines. (Figure 1) If \( D C \) has ...

The square plate is deformed into the shape shown by the dashed lines. (Figure 1) If \( D C \) has a normal strain \( \epsilon_{x}=0.005, D A \) has a normal strain \( \epsilon_{y}=0.005 \) and at \( D, \gamma_{x y}=0.02 \) rad, determine the average normal strain along diagonal \( C A \). Express your answer in millimeters per millimeter to three significant figures.