Respuesta :

hanakazmouz
its 4 centimeters :

4x2=8+3=11 so AD is 11 and AB is 4 
since its perimeter you need it from each side and parallelograms have congruent opposite sides so 11+11+4+4=30 ;)
calculista

Answer:

Option B. [tex]AB=4\ cm[/tex]

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent and parallel

so

[tex]AB=CD[/tex]

[tex]BC=AD[/tex]

the perimeter of parallelogram is equal to

[tex]P=2(AB+AD)[/tex]

we have

[tex]P=30\ cm[/tex]

so

[tex]30=2(AB+AD)[/tex] -----> [tex]15=(AB+AD)[/tex] ----> equation A

[tex]AD=2AB+3[/tex] -----> equation B

Substitute equation B in equation A and solve for AB

[tex]15=(AB+2AB+3)[/tex]

[tex]15-3=3AB[/tex]

[tex]3AB=12[/tex]

[tex]AB=4\ cm[/tex]

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