Final answer:
To find the width, divide the area of the rectangle by its length using the formula Width = Area / Length. In this case, the width is (x + 6) cm.
Step-by-step explanation:
To find the width of the rectangle, we need to divide the area of the rectangle by its length. In this case, the area is (x^2+14x +38) cm² and the length is (x + 8) cm. Therefore, the width is given by:
Width = Area / Length
Substituting the given values:
Width = (x^2+14x +38) / (x + 8) cm
So, the width of the rectangle is (x + 6) cm.
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