Dimensions 20513

The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle?

Correct answer:

k =  6.25

Step-by-step explanation:

r=5:2=2.5 k1=r2=2.52=425=641=6.25  a=6.6 cm b=4.2 cm  x=r a=2.5 6.6=233=1621=16.5 cm y=r b=2.5 4.2=221=1021=10.5 cm  S1=a b=6.6 4.2=25693=272518=27.72 cm2 S2=x y=16.5 10.5=4693=17341=173.25 cm2  k=S2:S1=173.25:27.72=425=641=6.25=25:4 k = k1

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