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A rectangle has length -x + 8 and width 5x^2 + 1. Write a polynomial expression that represents the perimeter of the rectangle

Respuesta :

MsRay

Answer:

Perimeter = 10x² - 2x + 18.

Step-by-step explanation:

Perimeter of a rectangle is the sum of all the sides and can also be expressed as the formula: P = 2W + 2L, where P=perimeter, W = width and L=length.  If a rectangle has a length (-x +8) and a width of (5x² + 1), we can set up the following equation:

P = 2(5x² + 1) + 2(-x + 8)

Distribute: 10x² + 2 - 2x + 16

Combine like terms:  10x² - 2x + 18

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