Math
posted by Sammi on .
The perimeter of a rectangle is 74 centimeters. The width is doubled and the length is halved. The new rectangle has a perimeter of 76 centimeters. Find the dimensions.
Okay, so in class we're learning about Systems of Equations. What are the equations for this? How do I define the variables?

2W + 2L = perimeter = 74
2W = 74 2L
2(2W) + 2(L/2) = 76
Substitute 74  2L for 2W in the last equation and solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.