Question

Consider two numbers x and y. The length and breadth of a rectangle are respectively the sum and the difference of these numbers. The perimeter is .

• A. $4x-4y$
• B. $2x-2y$
• C. $4x$
• D. $4y$

Answer 1

The correct option is C $4x$

The length and the breadth of the rectangle are $x+y$ and $x-y$ respectively.

The perimeter of the rectangle is $2\times (length+breadth)$.

Therefore, the perimeter of the given rectangle is
$2\times \left(\right(x+y)+(x-y\left)\right)=2\times (x+y+x-y)=2\times 2x=4x.$