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 answer:

o =  50 cm
S =  150 cm²

Step-by-step explanation:

$$\begin{gathered} a=8\text{ cm } \\ b=12\text{ cm } \\ {o}_1=2\cdot (a+b)=2\cdot (8+12)=40\text{ cm } \\ k={\displaystyle \frac{5}{4}}=1.25 \\ o=k\cdot o_1=1.25\cdot 40=50\text{ cm} \end{gathered}$$

$$\begin{gathered} S_1=a\cdot b=8\cdot 12=96{\text{cm}}^2 \\ S=k^2\cdot S_1=1.25^2\cdot 96=150{\text{cm}}^2 \end{gathered}$$

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