Parallelogram Sides Length Ratio

The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram?

Final Answer:

a =  153
b =  90

Step-by-step explanation:


2(a+b)=486
a = 1.7 b

2·(a+b)=486
a = 1.7·b

2a+2b = 486
a-1.7b = 0

Row 2 - 1/2 · Row 1 → Row 2
2a+2b = 486
-2.7b = -243


b = -243/-2.7 = 90
a = 486-2b/2 = 486-2 · 90/2 = 153

a = 153
b = 90

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