Q. 175.0( 3 Votes )

The two adjacent sides of a rectangle are 2x2 – 5xy + 3z2 and 4xy – x2 – z.

Answer :

Two adjacent sides are 2x2 – 5xy + 3z2 and 4xy – x2 – z.


Area of rectangle = (2x2 – 5xy + 3z2)× (4xy – x2 – z)


Area of rectangle = 2x2(4xy – x2 – z)-5xy(4xy – x2 – z) + 3z2(4xy – x2 – z)


Area of rectangle = 8x3y-2x4-2x2z-20x2y2 + 5x3y + 5xyz + 12xyz2-3x2z2-3z3


Perimeter of rectangle = 2× (2x2 – 5xy + 3z2 + 4xy – x2 – z)


Perimeter of rectangle = 2× (x2-xy + 3z2-z)


Perimeter of rectangle = (2x2-2xy + 6z2-2z)


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