Solve the problem using two linear equations in two variables and Cramer's rule.
-The perimeter of a rectangle is 25 units. If the width is doubled and the length is tripled, the perimeter is 53 units. Determine the original width and length.
A) width = 11 units, length = 1.5 units
B) width = 8 units, length = 13 units
C) width = 22 units, length = 3 units
D) width = 9 units, length = 18 units

Question

Quizplus · Accepted Answer

The original equations based on the problem are: 2L + 2W = 25 (perimeter of the original rectangle) and 2(3L) + 2(2W) = 53 (perimeter of the modified rectangle). Solving these equations using Cramer's rule or any other method gives L = 1.5 and W = 11.

Solve the Problem Using Two Linear Equations in Two Variables