Question

Two adjacent sides of a rectangle are
$2x { }^{2} - 5xy + 3z {}^{2} \: and \: 4xy - x {}^{2} - z {}^{2}$
find its changes ​

Answer 1

Answer:

Let a and b be two adjacent sides of rectangle.

Then we know perimeter of rectangle will be 2(a+b).

Here two adjacent sides are 2x

2

−5xy+3z

2

and 4xy−x

2

−z

2

.

Thus perimeter = 2(a+b)=2(2x

2

−5xy+3z

2

+4xy−x

2

−z

2

)

=2(x

2

+2z

2

−xy)

=2x

2

+4z

2

−2xy