Question

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

Answer 1

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the correct expression to compute the perimeter given the width measures (5r+8s) centimeters and the length measures (7r−7s) centimeters is 2(5r+8s)+2(7r−7s).

Step-by-step explanation:

The problem presented is related to the definition of perimeter for a rectangle. To find the perimeter of a rectangle, we add up the lengths of all its sides. In this case, the width of the rectangle measures (5r+8s) centimeters, and its length measures (7r−7s) centimeters.

Since a rectangle has two sides of equal length and two sides of equal width, the correct expression to calculate the perimeter would be twice the sum of the length and the width, which gives us: 2 * [(5r+8s) + (7r−7s)].

Thus, the correct choice that represents the perimeter of the rectangle in terms of 'r' and 's' is option a) 2(5r+8s)+2(7r−7s).

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