Question

If two positive integers x and y are
the length and
breath respectively
Sucha
that
Perimeter of rectangle= Area of rectangle
Then find
x-y ​

Answer 1

Step-by-step explanation:

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Answer 2

The value of (x - y) = 2(x²- y²) / xy

Given:

x and y are length and breadth of rectangle where x and y are two positive integers

And perimeter of rectangle = Area of rectangle

To find:

The value of (x - y)

Solution:

If x and y are length and breadth of rectangle

⇒ Perimeter of the rectangle = 2(x+y)

⇒ Area of the rectangle = xy  

Given that Perimeter of rectangle = Area of rectangle

⇒  2(x+y) = xy

⇒ x + y = xy/2 _(1)

from algebraic identities (a-b)(a+b)= (a²-b²)

⇒ (x-y) (x+y)= (x²- y²)    [ ∵ x and y are positive integers ]

⇒ x - y (xy/2) = (x²- y²)

⇒ (x - y) = 2(x²- y²) / xy

The value of (x - y) = 2(x²- y²) / xy

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