Reduced - rectangles

The dimensions of the rectangle are a = 42 cm, and b = 91cm. Determine the perimeter and area of ​​the rectangle, which is reduced in size compared to the original rectangle in the ratio 6:7.

Correct answer:

o₂ =  228 cm
S₂ =  2808 cm²

Step-by-step explanation:

$$\begin{gathered} a=42\text{cm} \\ b=91\text{cm} \\ r=6:7\doteq 0.8571=6:7 \\ {a}_2=r\cdot a=0.8571\cdot 42=36\text{cm} \\ {b}_2=r\cdot b=0.8571\cdot 91=78\text{cm} \\ {o}_2=2\cdot (a_2+b_2)=2\cdot (36+78)=228\text{cm} \end{gathered}$$

$S_2=a_2\cdot b_2=36\cdot 78=2808{\text{cm}}^2$

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