3 years ago

Quadrilateral ABCD is a rectangle.

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other, so

AC = BD

2AG = 2DG, that is

AG = DG, substitute values

- 7y + 5 = 2y + 68 ( subtract 2y from both sides )

- 9y + 5 = 68 ( subtract 5 from both sides )

-9y = 63 ( divide both sides by - 9 )

y = - 7

Hence

BD = 2(2y + 68)

= 4y + 136

= (4 × - 7) + 136

= - 28 + 136

= 108 → A

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