Parallelogram

Side a of a parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram.

Correct answer:

a =  26 dm
b =  13 dm

Step-by-step explanation:


a=2b
2(a+b)=78

a=2·b
2·(a+b)=78

a-2b = 0
2a+2b = 78

Pivot: Row 1 ↔ Row 2
2a+2b = 78
a-2b = 0

Row 2 - 1/2 · Row 1 → Row 2
2a+2b = 78
-3b = -39


b = -39/-3 = 13
a = 78-2b/2 = 78-2 · 13/2 = 26

a = 26
b = 13

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