Three rectangles

Some wire is used to make three rectangles: A, B, and C. Rectangle B's dimensions are 3/5 cm larger than Rectangle A's dimensions, and Rectangle C's dimensions are again 3/5 cm larger than Rectangle B's dimensions. Rectangle A is 2 cm by 3 1/5 cm.

What is the total area of all three rectangles?

Correct answer:

S =  30 925 = 759/25 cm2

Step-by-step explanation:

a1=2 cm a2=351=3+51=53 5+1=515+1=516=3.2 cm x=53=0.6 cm  b1=a1+x=2+53=52 5+53=510+53=510+3=513=2.6 cm b2=a2+x=516+53=516+3=519=3.8 cm  c1=b1+x=513+53=513+3=516=3.2 cm c2=b2+x=519+53=519+3=522=4.4 cm  S1=a1 a2=2 516=52 16=532=6.4 cm2 S2=b1 b2=513 519=5 513 19=25247=9.88 cm2 S3=c1 c2=516 522=5 516 22=25352=14.08 cm2  S=S1+S2+S3=532+25247+25352=25160+25247+25352=25160+247+352=25759=25759 cm2=30259 cm2=30.36 cm2

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