Suppose that the length of a rectangle is 40 centimeters less than 9 times its width. The perimeter of the rectangle is 140 centimeters. Find the length and width of the rectangle.
A) the length is 11 centimeters and the width is 59 centimeters
B) the length is 69 centimeters and the width is 21 centimeters
C) the length is 11 centimeters and the width is 60 centimeters
D) the length is 59 centimeters and the width is 11 centimeters

Question

Quizplus · Accepted Answer

The correct relationship between length (L) and width (W) is L = 9W - 40. The perimeter (P) formula is P = 2L + 2W = 140. Substituting the expression for L into the perimeter equation and solving for W gives W = 11 cm. Subsequently, L = 59 cm.

Suppose That the Length of a Rectangle Is 40 Centimeters