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(69443)   (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)
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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(10552)  (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 = 
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