Circumference 9211

The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area?

Correct answer:

a =  6 cm
b =  9 cm
S =  54 cm2

Step-by-step explanation:


a=b-3
2(a+b)=30

a=b-3
2·(a+b)=30

a-b = -3
2a+2b = 30

Pivot: Row 1 ↔ Row 2
2a+2b = 30
a-b = -3

Row 2 - 1/2 · Row 1 → Row 2
2a+2b = 30
-2b = -18


b = -18/-2 = 9
a = 30-2b/2 = 30-2 · 9/2 = 6

a = 6
b = 9

Our linear equations calculator calculates it.
S=a b=6 9=54 cm2



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