8 : 1 is the ratio of the areas of these similar rectangles
Solution:
Given that, rectangle has an area of 25 square feet
A similar rectangle has an area of 200 square feet
To find: Ratio of the areas of these similar rectangles
Ratio of the areas of these similar rectangles can be found dividing the area of rectangles
[tex]\rightarrow \frac{\text{ Area of rectangle}}{\text{Area of similar rectangle}} = \frac{200}{25}[/tex]
Reduce the fraction to lowest term
[tex]\rightarrow \frac{\text{ Area of rectangle}}{\text{Area of similar rectangle}} = \frac{200}{25} = \frac{8}{1}[/tex]
In ratios we get,
Area of rectangle : Area of similar rectangle = 8 : 1
Thus 8 : 1 is the ratio of the areas of these similar rectangles
