Respuesta :
Answer:
The correct option is B.
Step-by-step explanation:
It is given that the opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The measure of third side is (2n + 3) cm.
We know that the opposite sides of a parallelogram are equal.
[tex]5n-6=3n-2[/tex]
[tex]5n-3n=-2+6[/tex]
[tex]2n=4[/tex]
[tex]n=4[/tex]
The length of a side is
[tex]5n-6=5(2)-56[/tex]
[tex]5n-6=10-6[/tex]
[tex]5n-6=4[/tex]
Therefore length of two opposite sides is 4 cm.
The length of third side is
[tex]2n+3=2(2)+3[/tex]
[tex]2n+3=4+3[/tex]
[tex]2n+3=7[/tex]
Therefore length of third side is 7 cm.
So, we can say that the lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm. Option B is correct.