The width of the rectangle, x is 2.76 cm
Given,
The area of a rectangle = 17.6 square centimeters
Length of the rectangle = 2.3x
Width of the rectangle = x
We have to find the value of x.
Here,
Area of rectangle = length × width
Then,
17.6 = 2.3x × x
17.6 = 2.3x²
x² = 17.6/2.3
x² = 7.65
x = √7.65
x = 2.76
Now,
Width of the rectangle = 2.76 cm
Length of the rectangle = 2.76 × 2.3 = 6.35 cm
Therefore,
The value of x, that is the width of the rectangle is 2.76 cm
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