Question

The length and breadth of a rectangle are $x-3$ and $x-5$, respectively. Match the followings accordingly.

• A. $2$
• B. $4(x-4)$
• C. $(x-3)(x-5)$
• D. $2x-8$

Answer 1

The length and breadth of the rectangle are respectively $x-3$ and $x-5$.

The perimeter of rectangle is $2\times (length+breadth)$.
Hence, the perimeter of the given rectangle is
$2\times \left(\right(x-3)+(x-5\left)\right)=2(2x-8)=4(x-4)$

The area of rectangle is $(length\times breadth)$.
Therefore, the area of the given rectangle is
$(x-3)\times (x-5)=(x-3)(x-5)$

The difference between the length and breadth is
$(x-3)-(x-5)=x-3-x+5=2$

The sum of the length and breadth is
$(x-3)+(x-5)=x-3+x-5=2x-8$