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The width of the rectangle is 42.36 in
A rectangle is a 2-dimensional shape have 4 sides
The area of a rectangle is expressed as:
A = lw
where:
In order to get the required width, you will;
Substitute the given parameters
[tex]257 \frac{1}{4} = 10 \frac{1}{2} w\\ \frac{1779}{4} =\frac{21}{2} w\\ w = \frac{1779}{4} \times \frac{2}{21}\\ w = 42.36 in[/tex]
Hence the width of the rectangle is 42.36 in
Learn more on the area of rectangle here: https://brainly.com/question/25292087