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.

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.

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DelcieRiveria DelcieRiveria · Answer 2 · 2019-06-11T09:00:00+02:00

Answer:

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

Step-by-step explanation:

The area of rectangle is

[tex]A=lenght\times width[/tex]

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

[tex]A=3\times 9=27[/tex]

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

[tex]A=5\times 15=75[/tex]

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

[tex]Ratio=\frac{27}{75}=\frac{9}{25}[/tex]

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