If the quadratic equations \( 4x^{2} + bx + 3 = 0 \) and \( 8x^{2} + 4x + c = 0 \) have both the roots common, find the values for b and c, respectively.
GN 14 is related to ER 1 in a certain way. In the same way, HP 18 is related to FT 5. To which of the given options is TK 4 related, following the same logic?
The shorter side of a rectangle is 16 cm less than the longer side. The numerical value of its area is equal to 3 times the numerical value of its perimeter. What is the length (in cm) of its longer side?