Mathematics Question and Solution
Let the width of the square be x.
Therefore the length of the square will be 2x.
Calculating x.
x² + x² = (2√(3²+3²)+2(3))²
2x² = (2√(18)+6)²
2x² = (6√(2)+6)²
2x² = 72+72√(2)+36
x² = 54+36√(2)
x (rectangle width) = √(54+36√(2)) units.
Therefore the length of the rectangle 2x is;
= 2√(54+36√(2)) units.
Therefore area of the rectangle is;
2√(54+36√(2)) * √(54+36√(2))
= 2(54+36√(2))
= 36(3+2√(2)) square units.
= 209.823376491 square units.
