Enlarged rectangle

The rectangle with dimensions of 8 cm and 12 cm is enlarged in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle?

Correct result:

o =  50 cm
S =  150 cm2

Solution:

a=8 cm b=12 cm  o1=2⋅ (a+b)=2⋅ (8+12)=40 cm k=54=1.25  o=k⋅ o1=1.25⋅ 40=50 cm
S1=a⋅ b=8⋅ 12=96 cm2  S=k2⋅ S1=1.252⋅ 96=150 cm2

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