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Answer:

The length of the rectangle is x^2 + x - 3.

Explanation:

The length of the rectangle is x^2  +  x - 3.

Description of a rectangle

A rectangle is a four-sided shape. The opposite sides of a rectangle is equal. The sum of angles in a rectangle is equal to 360 degrees.

The perimeter of a rectangle is the distance round a rectangle. The perimeter of a rectangle = 2(length + width).

Determination of the length of the rectangle.

8x^2+10x-6 = 2(3x^2+4x + length)

Divide both sides of the equation by 2

4x^2 + 5x - 3 = 3x^2 + 4x + length

Length = (4x^2 + 5x - 3) - (3x^2 + 4x)

Length = x^2  - x - 3

To learn more about a rectangle, please check: https://brainly.com/question/16595449

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