Final answer:
By using the given perimeter to formulate and solve an equation, we find that the width of the rectangle is 3 cm and the length is 4 cm. Multiplying these values together, we find that the area of the rectangle is 12 cm2.
Step-by-step explanation:
This is a problem in mathematics dealing with the concept of rectangles and their properties, in particular, perimeter and area. Let's denote the width of the rectangle by x (measured in cm). Therefore the length of the rectangle is x+1 cm.
The perimeter of a rectangle is given by the equation 2*length + 2*width. So, given that the perimeter is 14 cm, we can form the equation 2*(x+1) + 2*x = 14. Solving this equation gives x = 3. So, the width of the rectangle is 3 cm and the length is 4 cm.
The area of a rectangle is calculated by multiplying the length and the width. Hence, the area of this rectangle would be 3 cm * 4 cm = 12 cm2, so the correct answer is b) 12 cm.
Learn more about Area of Rectangle