Answer:
x can be 3 or (-4) because
area of a rectangle= length × breadth
12=x×(x+1)
12=x^2+x
x^2+x-12=0
x^2 +4x-3x-12=0
x(x+4)- 3(x+4)=0
(x+4)(x-3)=0
(x+4)=0 or (x-3)=0
Therefore, x=(-4) or 3
Since, the dimensions of a rectangle cannot be negative, x=3.
Therefore, the width of a rectangle(x)=3 cm,
the length of a rectangle(x+1)=(3+1)=4 cm
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