The width of a rectangle measures (5r+8s)(5r+8s) centimeters, and its length measures (7r-7s)(7r−7s) centimeters. Which expression

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

1 thought on “The width of a rectangle measures (5r+8s)(5r+8s) centimeters, and its length measures (7r-7s)(7r−7s) centimeters. Which expression”

  1. 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:
    #SPJ1

    Reply

Leave a Comment