Circumference 5082

The rectangle is 20 percent longer than the length. Its circumference is 22 cm. What are the sides of a rectangle?

Correct answer:

a =  6
b =  5

Step-by-step explanation:


a = b+ 20/100 b
2(a+b)=22

a = b+ 20/100·b
2·(a+b)=22

100a-120b = 0
2a+2b = 22

Row 2 - 2/100 · Row 1 → Row 2
100a-120b = 0
4.4b = 22


b = 22/4.4 = 5
a = 0+120b/100 = 0+120 · 5/100 = 6

a = 6
b = 5

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