two adjacent sides of a rectangle are 5x^2-3y^2 and x^2-2xy find its perimeter
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Step-by-step explanation:
Given adjacent sides of a rectangle are 5x
2
−3y
2
and x
2
+2xy
we know that the perimeter of a rectangle with adjacent sides a and b is 2×(a+b)
Perimeter=2((5x
2
−3y
2
)+(x
2
+2xy))
=2(6x
2
−3y
2
+2xy)
=12x
2
−6y
2
+4xy
∴Perimeter=12x
2
−6y
2
+4xy
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