Answers:
length = 33 cm
area = 825 cm²
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Step-by-step explanation
I'll use the term "width" in place of "breadth". Both mean the same thing.
2*(length + width) = perimeter of rectangle
2*(x + 25) = 116
x+25 = 116/2
x+25 = 58
x = 58-25
x = 33 cm is the length
This rectangle is 33 cm by 25 cm. The area is the product of these values. We multiply them together.
area = length*width = 33*25 = 825 cm² is the area
The units cm² mean "square cm" or we can abbreviate that to "sq cm". Sometimes you might see it written as "centimeters squared".
The interpretation is that we need 825 tiny little unit grid squares to make up this entire rectangle.