The circumference

The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm2. What is its length?

Correct answer:

a =  18 cm

Step-by-step explanation:

S=216 cm2 S = ab o:b = 5:1 2(a+b):b = 5:1  2(a+b) = 5b 2a+2b =5b 2a = 3b  S = a(2/3a) a=3/2 S=3/2 216=18 cm b=2/3 a=2/3 18=12 cm   Verifying Solution:  S1=a b=18 12=216 cm2 o=2 (a+b)=2 (18+12)=60 cm

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