27. NCERT | Square of sum of two numbers | Intext | Pg.145 | Q1

The area of a square of sidelength \(60\) units is \(3600\) sq. units \((60^2)\) and that of a square of sidelength \(5\) units is \(25\) sq. units \((5^2)\). Can we use this to find the area of a square of sidelength \(65\) units?

 

 

Represent the area of the new square as the square of sum of two given units:

 

 

To find the area of the square of sidelength \(65\) units  geometrically, we need to split the square into fourthreetwo regions.

 

Area of a square of sidelength \(60\) units is sq. units.

 

Area of a square of sidelength \(5\) units is  sq. units

 

Area of the rectangular region is sq. units

 

The area of a square of sidelength \(65\) units \(=\) sq.units.