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Answer: The length and width of the rectangle are 19 cm and 5 cm respectively.
Step-by-step explanation: Given hat the length of a rectangle is four centimeters more than three times its width and the area of the rectangle is 95 square centimeters.
We are to find the length and width of the rectangle.
Let W and L denote the width and the length respectively of the given rectangle.
Then, according to the given information, we have
Since the area of a rectangle is the product of its length and width, so we must have
Since the width of the rectangle cannot be negative, so we get
From equation (i), we get
Thus, the length and width of the rectangle are 19 cm and 5 cm respectively.