What must be the value of a and b for PQRS to be a parallelogram?
1 answer:
Answer:
a = 2
b = 4
Step-by-step explanation:
In parallelogram opposite sides are equal.
4a + b = 2a + 8
4a - 2a + b = 8
2a + b = 8 -----------------(I)
b = 8 - 2a
11b - 10a = 6b
11b - 6b -10a = 0
5b - 10a = 0 ---------(II)
Substitute b = 8 - 2a in equation (II)
5*(8-2a) - 10a = 0
5*8 - 2a * 5 - 10a = 0
40 - 10a - 10a = 0
40 - 20a = 0
-20a = - 40
a = -40/-20
a = 2
Plugin a = 2 in equation (I)
2*2 + b = 8
4 + b = 8
b = 8 -4
b = 4
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