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.

Question

Okay, so in class we're learning about Systems of Equations. What are the equations for this? How do I define the variables?

Answer 1

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.