Final answer:
If the base of a rectangle is increased by 10% and the area is unchanged, the width would have to decrease by about 9.09% for the area to remain constant.
Step-by-step explanation:
To solve this, it's important to understand the relationship between the dimensions of a rectangle and its area. The area of a rectangle is calculated by the formula length * width. If the base (length) of the rectangle is increased by 10%, but the area is unchanged, it means that the width must decrease.
You also need to note that, if the length increases by 10% and the area remains the same, the width must decrease by about 9.09% (1 - 1/1.1 = 0.0909 or 9.09%) for the area to remain constant. Therefore, the width actually decreases, not increases.
Learn more about Area of a Rectangle