Given question is incomplete; here is the complete question,
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D?
8 cm
16 cm
30 cm
60 cm
By using the property of a parallelogram, length of the brace connecting B and D will be 60 cm.
Property of a parallelogram states that "Diagonals of a parallelogram bisect each other"
Therefore, DE = BE
3y + 6 = 5y - 10
5y - 3y = 6 + 10
2y = 16
y = 8
Length of brace BD = BE + DE
= (5y - 10) + (3y + 6)
= (8y - 4)
By substituting the value of 'y',
Length of brace BD = 8(8) - 4
= 64 - 4
= 60 cm
Therefore, Option (4). 60 cm will be the answer.
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