Answer:

D. (31.5x - 2) cm

Explanation:

GIVEN THAT,

The sides of rectangle are of length (3x + 1) cm and (x - 2) cm

★Longer side will be Length and Smaller side will be Breadth of rectangle

=> Length of Rectangle = (3x + 1) cm

=> Breadth of Rectangle = (x - 2) cm

And,

Area of Rectangle = 2 cm²

Length×Breadth = 2

(3x + 1) × (x - 2)= 2

= 1176x²+3x+2x+1 = 1176x²+5x+1-2

= 06x²+5x-116 = 06x²+29x-24x-116

= 0x(6x+29)-4(6x+29) = 0(x-4)(6x+29)

= 0=> x = 4 or x = -29/6=> x

= 4[ Length and breadth cannot be negative ]

=> Length = 3x+1 = 3(4)+1 = 12+1

Length, L = 13 cm=> Breadth

= 2x+1 = 2(4)+1 = 8+1Breadth, B = 2 cm² Now,Perimeter of Rectangle = 2(L+B)= 2(13+9)= 2×22= 44 cm

Answer:

(31.5x - 2) or (3x²−5−2) cm

#BrainliestBunch

#CarryOnLearning