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The width of a rectangle measures (5r+8s)(5r+8s) centimeters, and its length measures (7r-7s)(7r−7s) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
A. 2+24r C. 2s+24r

B. −14s+24r+8 D. 1+12r

Respuesta :

The expression which represents the perimeter, in centimeters, of the rectangle 2s + 24r. Option B

Perimeter of a rectangle

The formula for perimeter of a rectangle is given as:

Perimeter = 2 ( length + width)

Where:

  • Width = (5r+8s)
  • Length = (7r-7s)

Let's substitute into the formula

Perimeter = 2 { (5r+8s)+ (7r−7s) }

collect like terms

Perimeter = 2 { 5r + 7r + 8s - 7s }

Add like terms

Perimeter = 2 { 12r + s}

Expand bracket

Perimeter = 24r + 2s

Thus, the expression which represents the perimeter, in centimeters, of the rectangle 2s + 24r. Option B

Learn more about a rectangle here:

https://brainly.com/question/17297081

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