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Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE=y+10, CE=x+2 and DE=4y - 8. Find the length of BD. A.) 16 B.) 32 C.) 18 D.) 6

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sqdancefan

Answer:

  B.)  32

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so ...

  BE = DE

  y+10 = 4y - 8 . . . substitute the given expressions

  18 = 3y . . . . . . . . add 8-y

  6 = y . . . . . . . . . . divide by 3

Then BE = y+10 = 16 and ...

  BD = 2×BE = 2×16

  BD = 32

madison3395

Answer:

B.) 32

Step-by-step explanation:

Given parallelogram ABCD, diagonals AC and BD intersect at point E, AE = 2x, BE=y+10, CE=x+2 and DE=4y - 8, the length of BD is 32.

BD = 2×BE = 2×16

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