The length of a rectangle is five centimeters more than its width, w. if the perimeter of the rectangle is 26 centimeters, what is the area of the rectangle, in square centimeters? . a.104. b.676. c.36. d.26.

Let w be the width of the rectangle. From this, its length is then equal to w + 5. The perimeter of a rectangle is calculated through the equation,
                                     P = 2L + 2W
where L and W are length are width, respectively. Substituting the expressions and the known perimeter, 
                              26 cm = 2(w + 5) + 2w
The value of w is 4. The width and length are 4 cm and 9 cm, respectively. The area is the product of this dimension which is equal to 36 cm².