Rectangle

The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference is 96 cm?

Correct answer:

a =  36
b =  12

Step-by-step explanation:


a=3b
2(a+b)=96

a=3·b
2·(a+b)=96

a-3b = 0
2a+2b = 96

Pivot: Row 1 ↔ Row 2
2a+2b = 96
a-3b = 0

Row 2 - 1/2 · Row 1 → Row 2
2a+2b = 96
-4b = -48


b = -48/-4 = 12
a = 96-2b/2 = 96-2 · 12/2 = 36

a = 36
b = 12

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