Question

a rectangle has an area of 25 square feet. a similar rectangle has an area of 200 square feet. what is the ratio of the areas of these similar rectangles?

Answer 1

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

`\rightarrow \frac{\text{ Area of rectangle}}{\text{Area of similar rectangle}} = (200)/(25)`

Reduce the fraction to lowest term

`\rightarrow \frac{\text{ Area of rectangle}}{\text{Area of similar rectangle}} = (200)/(25) = (8)/(1)`

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