Parallelogram ABCD is a rectangle.
1 answer:
Answer:
The value of y is: 7
Step-by-step explanation:
The figure of the rectangle ABCD is attached to the answer.
We are given that Parallelogram ABCD is a rectangle.
AC=6y−1
BD=4y+13
Diagonal BD and AC intersect each other at a point labeled as X.
Also we know that: The two diagonals of a rectangle are equal in length and bisect each other.
i.e. length of AC=BD
Hence 6y-1=4y+13
⇒ 6y-4y=13+1
⇒ 2y=14
⇒ y=7
Hence, AC=6×7-1=42-1=41
BD=4×7+13=41
Hence, the value of y is 7.
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