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.
