Linear Systems of Equations in Two VariablesDate: 06/18/99 at 18:52:12 From: Jen Subject: Word problem solving linear system of equations The following is a problem from my math book. The chapter deals with linear systems of equations in two variables. I have tried for several hours to solve this problem to no avail. The graph is pretty close to what it looks like in the book. Please help. Thanks. In the figure, parallelogram ABCD has a perimeter of 50 meters, and trapezoid AECD has a perimeter of 39 meters. Triangle EBC is isosceles with EB and BC having equal measure. Furthermore, AE and EC are equal in measure. Find the lengths of AE, EB and DC. A___________________E______B \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ D \________________________\\C Date: 06/19/99 at 08:16:19 From: Doctor Jerry Subject: Re: Word problem solving linear system of equations Hi Jen, Thanks for your question. Let x = AD and y = DC. Then AE =y-EB = y-BC = y-x. Also, 2x + 2y = 50 and AE + EC + CD + DA = 39 or (y-x) + (y-x) + y + x = 39. That should do it. - Doctor Jerry, The Math Forum http://mathforum.org/dr.math/ |
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