Answered

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The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model

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The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches

What is the area of a rectangle?

The area of a rectangle is the multiplication of the length and the width of the rectangle.

The area of the rectangle is expressed as:

Area (A) = length (L) × width (w)

A = l × w

Given that:

  • width = x
  • Length = 2x - 7
  • Area = 72 in ²

72 = (2x - 7) × (x)

72 = 2x² - 7x

2x² - 7x - 72 = 0

Using the quadratic calculator

x = 8 or x = -9/2

However, since our length/width distance can't be negative, then:

x = 8

  • width = 8 inches
  • Length = 2(8) - 7 = 9 inches

Learn more about the area of the rectangle here:

https://brainly.com/question/25292087

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