# SOLUTION: If one width of a parallelogram is 21 and the side oppisite that side is 4a+b and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b? (this que

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 Geometry: Parallelograms Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Parallelograms Question 207371: If one width of a parallelogram is 21 and the side oppisite that side is 4a+b and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b? (this question is from the star released question in the geometry section and its number 28, theres a diagram in there so it might help you see how the parallelogram looks like)Found 2 solutions by Alan3354, MathTherapy:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!If one width of a parallelogram is 21 and the side oppisite that side is 4a+b and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b? (this question is from the star released question in the geometry section and its number 28, theres a diagram in there so it might help you see how the parallelogram looks like) -------------------- We don't have the book. A diagram seems to be needed. If you can, scan it and email it to gsihoutx@aol.com Answer by MathTherapy(1422)   (Show Source): You can put this solution on YOUR website! If one width of a parallelogram is 21 and the side oppisite that side is 4a+b and the length is 13 and the side opposite that is 3a-2b, what is the value of a and b? Opposite sides of a parallelogram are congruent Since the width is 21, and the opposite side = 4a + b, then 4a + b = 21 Since the length is 13, and the opposite side = 3a - 2b, then 3a - 2b = 13 4a + b = 21 ----- eq (i) ------(multiply by 2) -----> 8a + 2b = 42 3a - 2b = 13 ----- eq (ii)----((multiply by 1) -----> 3a - 2b = 13 11a = 55 a = 5 4(5) + b = 21 [Substituting 5 for a in eq (i)] 20 + b = 21 b = 1 Therfore, a = and b =