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The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation that could be used to find the width, w, of the rectangle.

Answer :

Answer:

(2w^2) + (-1w) + (-91)

Step-by-step explanation:

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The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

What is the Area of a Rectangle?

Area pf a rectangle = length × width

Given the following:

  • Area of rectangle = 91 in.²
  • Width = w
  • Length of the rectangle = 2w - 1

Equation for finding w, using the area formula, would be:

(2w - 1)(w) = 91

2w² - w - 91 = 0

Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

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