Question

The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are 5 ft by 15 ft. Find the ratio of the area of the smaller rectangle to the area of the larger rectangle.

Answer 1

First find the area of the smaller rectangle 3 times 9 equals 27.
Then find the are of the larger rectangle 5 times 15 equals 75.
The ratio is 27 to 75 or 9 to 25.

Answer 2

The ratio of the area of the smaller rectangle to the area of the larger rectangle is 9:25.

Explanation:

The area of rectangle is

`A=lenght* width`

It is given that the dimensions of a smaller rectangle are 3 ft by 9 ft. So, the area of smaller rectangle is

`A=3* 9=27`

The area of smaller rectangle is 27 ft².

It is given that the dimensions of a larger rectangle are 5 ft by 15 ft. So, the area of larger rectangle is

`A=5* 15=75`

The area of smaller rectangle is 75 ft².

The ratio of the area of the smaller rectangle to the area of the larger rectangle is

`Ratio=(27)/(75)=(9)/(25)`

Therefore the ratio of the area of the smaller rectangle to the area of the larger rectangle is 9:25.