Let original side be x
New side measurement increased by 7: x + 7
New area: 189 sq inches
Area of square = s²
189 = (x+7)²
189 = x² + 14x + 49
x² + 14x + 49 -189 = 0
x² + 14x - 140 = 0
Solve by quadratic formula. This can not be solved by factoring because it has no rational factors.
Please see attached handwritten solution :-)
