Answer :
The equation that can be used to find the width, w, of the rectangle with the given area is 2w² - w - 91 = 0
To determine the equation that can be used to find the width we use the following formula; Area of a rectangle = length × width
Since the area of the rectangle is 91 square inches and the length of the rectangle is 1 less than twice its width, this can be represented as;
Length of the given rectangle = 2w - 1
Using the area formula the equation to find the width would be:
(2w - 1)(w) = 91
2w² - w - 91 = 0
Hence 2w² - w - 91 = 0, is the equation that can be used to find the width.
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