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Answer:
[tex]Ratio = 9 :80[/tex]
Step-by-step explanation:
Given
[tex]A_1 = 18ft^2[/tex] --- Area of smaller rectangle
[tex]A_2 = 160ft^2[/tex] --- Area of bigger rectangle
Required
Determine the area of the areas.
The ratio is calculated by the dividing the areas of rectangles.
[tex]Ratio = \frac{A_1}{A_2}[/tex]
Substitute values for A2 and A1
[tex]Ratio = \frac{18ft^2}{160ft^2}[/tex]
[tex]Ratio = \frac{18}{160}[/tex]
Simplify the fraction
[tex]Ratio = \frac{9}{80}[/tex]
Represent as ratio
[tex]Ratio = 9 :80[/tex]
Hence, the ratio of the rectangles is 1 to 9