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lana66690 [7]
3 years ago
15

What must be the value of a and b for PQRS to be a parallelogram? ​

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

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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