The area of a square of sidelength \(30\) units is \(900\) sq. units \((30^2)\) and that of a square of sidelength \(9\) units is \(81\) sq. units \((9^2)\). Can we use this to find the area of a square of sidelength \(39\) 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 \(39\) units geometrically, we need to split the square into regions.
Area of a square of sidelength \(30\) units is sq. units.
Area of a square of sidelength \(9\) units is sq. units
Area of the rectangular region is sq. units
The area of a square of sidelength \(39\) units \(=\) sq.units.