The area of a square of sidelength \(60\) units is \(3600\) sq. units \((60^2)\) and that of a square of sidelength \(3\) units is \(9\) sq. units \((3^2)\). Can we use this to find the area of a square of sidelength \(63\) units?
Answer:
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 \(63\) units geometrically, we need to split the square into regions.
Area of a square of sidelength \(60\) units is sq. units.
Area of a square of sidelength \(3\) units is sq. units
Area of the rectangular region is sq. units
The area of a square of sidelength \(63\) units \(=\) sq.units.