Question

A rectangle has an area of 18 square feet. A similar rectangle 1

has an area of 160 square feet. What is the ratio of the areas of these

similar rectangles?

Answer 1

`Ratio = 9 :80`

Explanation:

Given

`A_1 = 18ft^2` --- Area of smaller rectangle

`A_2 = 160ft^2` --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

`Ratio = (A_1)/(A_2)`

Substitute values for A2 and A1

`Ratio = (18ft^2)/(160ft^2)`

`Ratio = (18)/(160)`

Simplify the fraction

`Ratio = (9)/(80)`

Represent as ratio

`Ratio = 9 :80`

Hence, the ratio of the rectangles is 1 to 9