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
Algebra.Com
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)
--------------------
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 =
RELATED QUESTIONS
What is the perimeter of a parallelogram if it's one side is 10 cm and diagonal is 21 cm (answered by ikleyn)
Find the values of a and b assuming that the square is a regular polygon.
Side 1: 4a-b
(answered by Fombitz)
what is the perimeter of a parallelogram with height 21 mm, base 23mm, and side length 29 (answered by checkley77)
A triangle has one side that is 8" and another side that is 13". What I'd the minimum... (answered by math_tutor2020,ikleyn)
In a right triangle, find the length of the side not given.
One side is a; one side =... (answered by solver91311)
A triangle has a perimeter that is 47 cm. If side A is 3 less than twice the length of... (answered by solver91311)
A triangle has a perimeter that is 47 cm. If side A is 3 less than twice the length of... (answered by rfer)
What is the length of side"a" in a right triangle if side "b"= 4 and side "c"=... (answered by Alan3354)
A parallelogram has two congruent diagonals of length 13. If one side has length 5, what... (answered by solver91311)