Answer:
9:16
Step-by-step explanation:
In a similar rectangle , the ratio of lengths should be equal to ratio of widths.
Ratio of lengths =
[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Hence , Ratio of widths =
[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]
Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9
Area of rectangle 2= Length 2 × Width 2= 4×4= 16
Ratio of areas of both rectangles =
[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]
