Dimensions of the frame

The picture frame is made of a 6 cm wide bar. The dimensions of the image are 74 and 57 cm. Are the inner and outer edges of the frame two similar rectangles?

Final Answer:

x = no

Step-by-step explanation:

$$\begin{gathered} a=74 \\ b=57 \\ {a}_2=a+2\cdot 6=74+2\cdot 6=86 \\ {b}_2=b+2\cdot 6=57+2\cdot 6=69 \\ {k}_1=a_2/a=86/74=\frac{43}{37}=1\frac{6}{37}\doteq 1.1622 \\ {k}_2=b_2/b=69/57=\frac{23}{19}=1\frac{4}{19}\doteq 1.2105 \\ {k}_1<>k_2 \\ x=no \end{gathered}$$

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