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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?

  • Math - ,

    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.

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