SOLUTION: Quadrilateral ABCD is a parallelogram
If AB = 2x+4y
BC= 3x+3y
CD= 6y+0.5x
and AD=21
what is 'x' and 'y'??
I know the answer but I dont know the method.
x=4, y=3
Algebra ->
Parallelograms
-> SOLUTION: Quadrilateral ABCD is a parallelogram
If AB = 2x+4y
BC= 3x+3y
CD= 6y+0.5x
and AD=21
what is 'x' and 'y'??
I know the answer but I dont know the method.
x=4, y=3
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Question 874978: Quadrilateral ABCD is a parallelogram
If AB = 2x+4y
BC= 3x+3y
CD= 6y+0.5x
and AD=21
what is 'x' and 'y'??
I know the answer but I dont know the method.
x=4, y=3 Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! we know BC = AD since they are both diagonals of the parallelogram(ABCD), therefore
3x + 3y = 21
x + y = 7
now AB = CD since they are congruent sides of ABCD
2x + 4y = 6y + 0.5x
solve first equation for y
y = 7 - x
substitute for y in the second equation
2x + 4(7-x) = 6(7-x) +0.5x
2x + 28-4x = 42-6x +0.5x
-2x+28 = 42 -5.5x
3.5x = 14
x = 4
y = 3
