The perimeter of a rectangle is 26 cm. The length and the breadth of the rectangle are integers. Find the number of possible pairs of lengthand breadth. Also find the maximum possible area of the rectangle.

Answer

6;42sq.cm

Explanation

Let the length and breadth of a rectangle be 'I' and 'b' respectively.
Perimeter of a rectangle `=2(l+b)`
`therefore 2(l+b)=26`
`l+b=13`
The possible pairs `(12,1),(11,2),(10,3),(9,4),(8,5) and (7,6)`
Number of possible pairs `=6`
The maximum possible area of a rectangle
`6xx7=42sq.cm`