The perimeter of a rectangle and a square are same. If the length and breadth are 25cm and 17cm respectively, find which figure has greater area and how much.

Length of rectangle = 25 cm
Breadth of rectangle = 17 cm
Perimeter of rectangle = 2(Length + Breadth) = 2(25 + 17) = 2(42) = 84 cm

Also, area of rectangle = Length $\times$ Breadth = 25 $\times$ 17 = 425 cm²

Now, we are given perimeter of square and rectangle is equal

Therfore,

Perimeter of square = 84 cm
$\Rightarrow$4(Side of square) = 84
$\Rightarrow$Side of square = 21 cm

Area of square = Side $\times$ Side = 21 $\times$ 21 = 441 cm²

Thus, we can see if a rectangle and square have same perimeter then area of square will be greater than area of rectangle.