A thin rectangular polycarbonate plate of width $w=300mm$ and height $h=200mm$ is heated from an initial temperature $20C$ to $110C.$ The polycarbonate is considered as an isotropic material with a linear expansion coefficient of $=7*\frac{{10}^{-5}}{}C$ and Young's modulus $E=3\mathrm{.}2$GPa

a$.$ Evaluate the new area after the plate is heated. How much does the area calculation will differ if you consider $A=A_o?$

$$ is an area expansion coefficient and can be approximated as $$~~$2,$

$A$ is the new area after the heating

$A_o$ is the given initial area.