Thw teo adjacent sides of a rectangle are $2 x^{2} - 5 x y + 3 z^{2}$ and $4 x y - x^{2} - z^{2}$ .Find its perimeter.

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Solution

Adjacent sides of a rectangle are $2 x^{2} - 5 x y + 3 z^{2}$ and $4 x y - x^{2} - z^{2}$

$∴ P e r i m e t e r = 2 (2 x^{2} - 5 x y + 3 z^{2} + 4 x y - x^{2} - z^{2}) = 4 x^{2} - 10 x y + 6 z^{2} + 8 x y - 2 x^{2} - 2 z^{2} = 2 x^{2} - 2 x y + 4 z^{2}$

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