Say the width of the rectangle is x cm so the length will be 2x-11 cm . Now the area will be length x width = (2x-11)x = 2x2-11x cm2
Given that the area is 13 cm2.
2x2-11x-13 =0 (factorizing)
so x= 13/2=6.5 or x = -1
width cannot be a negative number so we accept x as 6.5 cm so length is 2x-11 = 13-11=2cm
So dimensions are length = 2 cm and width is 6.5 cm